Q 1 Mathematics Speed Conversion Km/h To M/s
A train moves with a speed of 108 Km/h. Its speed in meters per second is:
View answer & explanation Ans: 30
Correct Answer: 30
108 km/h x 5/18 = 30 m/s.
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Arithmetic: Problems on Trains — Solved MCQs Solved MCQs
Solved problems on trains MCQs — 23 questions on speed conversion, crossing poles, bridges, platforms and tunnels, and trains moving in the same and opposite directions, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers relative speed, train length and crossing time.
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Questions
23
Time
23
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Subjects
1
Topics
21
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About this paper
This is the Arithmetic: Problems on Trains solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 23 published questions (book pp. 746-748) on converting km/h and m/s, crossing poles, trees, bridges, platforms, tunnels and stations, and trains crossing each other or a walking man in the same and opposite directions, each with a worked explanation and a verified answer.
mathematics-mcqs arithmetic-problems-on-trains problems-on-trains-mcqs train-problems-mcqs time-speed-distance-mcqs fpsc-past-papers mathematics ppsc nts css-mpt one-paper-exams basic-arithmetic
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Arithmetic: Problems on Trains — Solved MCQs
Read mode 23 MCQs · 23 minutes
Subject 1
Mathematics
1
Topic Section
Speed Conversion Km/h To M/s
1 solved MCQs shown directly below
2
Topic Section
Speed Conversion M/s To Km/h
1 solved MCQs shown directly below
Q 2 Mathematics Speed Conversion M/s To Km/h
A speed of 14 meters per second is the same as:
View answer & explanation Ans: 50.4 km/h
Correct Answer: 50.4 km/h
14 m/s x 18/5 = 50.4 km/h.
3
Topic Section
Time To Cross A Pole
1 solved MCQs shown directly below
Q 3 Mathematics Time To Cross A Pole
In what time will a train 100 meters long cross an electric pole, if speed is 144 km/h?
View answer & explanation Ans: 2.5 seconds
Correct Answer: 2.5 seconds
144 km/h = 40 m/s, so 100 m / 40 m/s = 2.5 seconds.
4
Topic Section
Time To Pass A Tree
1 solved MCQs shown directly below
Q 4 Mathematics Time To Pass A Tree
A train 280 meter long, running with a speed of 63 km/hr will pass a tree in:
View answer & explanation Ans: 16 sec
Correct Answer: 16 sec
63 km/h = 17.5 m/s, so 280 m / 17.5 m/s = 16 seconds.
5
Topic Section
Time To Cross A Bridge
2 solved MCQs shown directly below
Q 5 Mathematics Time To Cross A Bridge
How long does a train 110 meters long running at the speed of 72 km/h take to cross a bridge 132 meters in length?
View answer & explanation Ans: 12.1 sec
Correct Answer: 12.1 sec
72 km/h = 20 m/s and the distance to cover is 110 + 132 = 242 m, so 242 / 20 = 12.1 seconds.
Q 6 Mathematics Time To Cross A Bridge
A train 360 meter long is running at a speed of 45 km/h. In what time will it pass a bridge 140 meter long?
View answer & explanation Ans: 40 sec
Correct Answer: 40 sec
45 km/h = 12.5 m/s and the distance to cover is 360 + 140 = 500 m, so 500 / 12.5 = 40 seconds.
6
Topic Section
Speed From Pole Crossing Time
1 solved MCQs shown directly below
Q 7 Mathematics Speed From Pole Crossing Time
A train 132 meter long passes a telegraph pole in 6 seconds. Find the speed of the train.
View answer & explanation Ans: 79.2 km/h
Correct Answer: 79.2 km/h
Speed = 132 m / 6 sec = 22 m/s = 22 x 18/5 = 79.2 km/h.
7
Topic Section
Length From Speed And Pole Time
1 solved MCQs shown directly below
Q 8 Mathematics Length From Speed And Pole Time
A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is:
View answer & explanation Ans: 120 m
Correct Answer: 120 m
Speed = 12 km in 10 minutes = 72 km/h = 20 m/s, so length = 20 x 6 = 120 m.
8
Topic Section
Time To Cross A Platform
1 solved MCQs shown directly below
Q 9 Mathematics Time To Cross A Platform
A train 240 meter long passed a pole in 24 seconds. How long will it take to pass a platform 650 meter long?
View answer & explanation Ans: 89 sec
Correct Answer: 89 sec
Speed = 240 m / 24 sec = 10 m/s, so time for 240 + 650 = 890 m is 890 / 10 = 89 seconds.
9
Topic Section
Bridge Length From Crossing Time
1 solved MCQs shown directly below
Q 10 Mathematics Bridge Length From Crossing Time
The length of the bridge, which a train 130 meters long and traveling at 45 km/h can cross in 30 seconds is:
View answer & explanation Ans: 245 m
Correct Answer: 245 m
45 km/h = 12.5 m/s, so distance covered in 30 seconds is 375 m and the bridge is 375 - 130 = 245 m.
10
Topic Section
Tunnel Length From Crossing Time
1 solved MCQs shown directly below
Q 11 Mathematics Tunnel Length From Crossing Time
A train 800 meters long is running at a speed of 78 km/hr. If it crosses a tunnel in one minute, then the length of the tunnel is:
View answer & explanation Ans: 500 m
Correct Answer: 500 m
78 km/h = 65/3 m/s, so distance covered in 60 seconds is 1300 m and the tunnel is 1300 - 800 = 500 m.
11
Topic Section
Train Length From Platform Crossing
1 solved MCQs shown directly below
Q 12 Mathematics Train Length From Platform Crossing
A goods train runs at the speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
View answer & explanation Ans: 270 m
Correct Answer: 270 m
72 km/h = 20 m/s, so distance covered in 26 seconds is 520 m and the train is 520 - 250 = 270 m.
12
Topic Section
Speed From Tunnel Crossing
1 solved MCQs shown directly below
Q 13 Mathematics Speed From Tunnel Crossing
A train of length of 150 meters takes 40.5 seconds to cross a tunnel of length 300 meters. What is the speed of the train in km/h?
View answer & explanation Ans: 40
Correct Answer: 40
Speed = (150 + 300) m / 40.5 sec = 100/9 m/s = 40 km/h.
13
Topic Section
Platform Length From Two Times
1 solved MCQs shown directly below
Q 14 Mathematics Platform Length From Two Times
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/h, what is the length of the platform?
View answer & explanation Ans: 240 m
Correct Answer: 240 m
54 km/h = 15 m/s, so the train is 15 x 20 = 300 m long and the platform is 15 x 36 - 300 = 240 m.
14
Topic Section
Platform Length From Pole And Platform Times
1 solved MCQs shown directly below
Q 15 Mathematics Platform Length From Pole And Platform Times
A 300 meters long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
View answer & explanation Ans: 350 m
Correct Answer: 350 m
Speed = 300 m / 18 sec = 50/3 m/s, so the platform is (50/3) x (39 - 18) = 350 m.
15
Topic Section
Train Length From Pole And Platform Times
1 solved MCQs shown directly below
Q 16 Mathematics Train Length From Pole And Platform Times
A train speeds past a pole in 15 seconds and a platform 100 meter long in 25 seconds. Its length is:
View answer & explanation Ans: 150 m
Correct Answer: 150 m
Let the length be L: L/15 = (L + 100)/25, so 5L = 3L + 300 and L = 150 m.
16
Topic Section
Train Length From Two Station Times
1 solved MCQs shown directly below
Q 17 Mathematics Train Length From Two Station Times
A train takes 18 seconds to pass completely through a station 162 meter long and 15 seconds through another station 120 meter long. The length of the train is:
View answer & explanation Ans: 90 m
Correct Answer: 90 m
Speed = (162 - 120) / (18 - 15) = 14 m/s, so length = 14 x 15 - 120 = 90 m.
17
Topic Section
Crossing A Man Walking In The Same Direction
1 solved MCQs shown directly below
Q 18 Mathematics Crossing A Man Walking In The Same Direction
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train, if the speed of the train is 63 km/hr?
View answer & explanation Ans: 30
Correct Answer: 30
Relative speed = 63 - 3 = 60 km/h = 50/3 m/s, so time = 500 / (50/3) = 30 seconds.
18
Topic Section
Time To Pass A Jogger Ahead
1 solved MCQs shown directly below
Q 19 Mathematics Time To Pass A Jogger Ahead
A jogger running at 9 km/hr alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 km/hr in the same direction. In how much time will train pass the jogger?
View answer & explanation Ans: 36 sec
Correct Answer: 36 sec
Relative speed = 45 - 9 = 36 km/h = 10 m/s and the distance to gain is 240 + 120 = 360 m, so time = 360 / 10 = 36 seconds.
19
Topic Section
Length Of The Other Train, Opposite Direction
1 solved MCQs shown directly below
Q 20 Mathematics Length Of The Other Train, Opposite Direction
A 270 meters long train running at the speed of 120 Km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 seconds. What is the length of the other train?
View answer & explanation Ans: 230 m
Correct Answer: 230 m
Relative speed = 120 + 80 = 200 km/h = 500/9 m/s, so combined length = (500/9) x 9 = 500 m and the other train is 500 - 270 = 230 m.
20
Topic Section
Crossing Time, Opposite Direction
1 solved MCQs shown directly below
Q 21 Mathematics Crossing Time, Opposite Direction
Two trains equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 meters, in what time, (in seconds) will they cross each other traveling in opposite direction?
View answer & explanation Ans: 12
Correct Answer: 12
Speeds are 120/10 = 12 m/s and 120/15 = 8 m/s; opposite-direction relative speed is 20 m/s, so time = 240 / 20 = 12 seconds.
21
Topic Section
Speed Of The Second Train, Opposite Direction
2 solved MCQs shown directly below
Q 22 Mathematics Speed Of The Second Train, Opposite Direction
A train 108 meter long moving at a speed of 50 km/hr crosses a train 112 meter long coming from opposite direction in 6 seconds. The speed of the second train is:
View answer & explanation Ans: 82 km/hr
Correct Answer: 82 km/hr
Combined length 108 + 112 = 220 m in 6 seconds gives relative speed 220/6 m/s = 132 km/h, so the second train runs at 132 - 50 = 82 km/h.
Q 23 Mathematics Speed Of The Second Train, Opposite Direction
A train 150 meter long passes a km stone in 15 seconds and another train of the same length traveling in opposite direction in 8 seconds. The speed of the second train is:
View answer & explanation Ans: 99 km/hr
Correct Answer: 99 km/hr
First train speed = 150/15 = 10 m/s = 36 km/h; combined length 300 m in 8 seconds gives relative speed 37.5 m/s = 135 km/h, so the second train runs at 135 - 36 = 99 km/h.
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Built by GK360 from verified bank questions — every answer rechecked before publishing.
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Paper practice FAQs
How many questions are in the Arithmetic: Problems on Trains MCQ bank? +
23 questions are published. The book prints 25 items; 2 are dropped because no unique correct option exists as printed (one omits the second train's length, the other offers no 45 m option), rather than guessed.
What does the Arithmetic: Problems on Trains bank cover? +
Speed conversion between km/h and m/s, time to cross a pole, tree, bridge, platform, tunnel or station, finding a train, bridge, platform or tunnel length from crossing times, and relative-speed problems with trains in the same and opposite directions.
Are the answers in the Problems on Trains bank verified? +
Yes. Every published answer was recomputed from scratch and checked against the book's printed Answer Key (pp. 747-748); the key agrees on all 23 published items, and the 2 dropped items are recorded with their reasons rather than answered by guesswork.
Which exams does the Problems on Trains bank help with? +
It is drawn from an FPSC model-paper book, but train speed-distance-time questions appear in the same form in PPSC, NTS, PTS, CSS MPT and all Pakistan one-paper exams, so it serves aspirants of every body.