FPSC · Other · N/A
Solved boats and streams MCQs — 17 questions on still-water speed, stream speed, downstream and upstream speeds, round-trip times and time differences, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers work-rate and speed problems.
Paper Snapshot
Questions
17
Time
17
Minutes
Subjects
1
Topics
17
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
This is the Arithmetic: Boats and Streams solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 17 published questions (book pp. 756-758, of 20 printed) on still-water speed from downstream and upstream speeds, stream speed from speeds, distances and times, downstream and upstream times and distances, and round-trip times, each with a worked explanation and a verified answer.
Paper Controls
Subject 1
Topic Section
1 solved MCQs shown directly below
Correct Answer: 8
Still-water speed is 1/2 (11 + 5) = 8 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 2.5 km/hr
Stream speed is 1/2 (13 - 8) = 2.5 km/hr.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 1.5 Km/h
Downstream speed is 32/6 = 16/3 km/h and upstream speed is 14/6 = 7/3 km/h, so the current is 1/2 (16/3 - 7/3) = 1.5 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 6 Km/h
Downstream speed is 16/2 = 8 km/h and upstream speed is 16/4 = 4 km/h, so still-water speed is 1/2 (8 + 4) = 6 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 3:1
Upstream time twice downstream time means downstream speed is twice upstream speed, so (b+s)/(b-s) = 2, giving b = 3s, a boat-to-stream ratio of 3:1.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 13 Km/h
Upstream speed is 7 km in 42 minutes = 10 km/h, so still-water speed is 10 + 3 = 13 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 10 Km/h
Speed against the current is 15 - 2 x 2.5 = 10 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 6.5 Km/h
The stream speed is 5 - 3.5 = 1.5 km/h, so the rate along the current is 5 + 1.5 = 6.5 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 4 hours
Downstream speed is 13 + 4 = 17 km/h, so 68 km downstream takes 68/17 = 4 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 24 hours
Downstream speed is 10.5 km/h and upstream speed is 7.5 km/h, so the round trip takes 105/10.5 + 105/7.5 = 10 + 14 = 24 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 3.6 Km
Downstream speed is 15 + 3 = 18 km/h, so in 12 minutes (1/5 hour) the boat travels 18/5 = 3.6 Km.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 4 2/3 Km/h
Downstream speed is three times upstream speed and still-water speed is their mean, 2u = 28/3, so upstream speed is 14/3 km/h and the stream speed is 1/2 (14 - 14/3) = 4 2/3 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 15 Km/h
With distance D and still-water speed b, D = b + 3 and D = 1.5(b - 3), so b + 3 = 1.5b - 4.5 and b = 15 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 5 Km/h
30/(15+s) + 30/(15-s) = 900/(225 - s squared) = 4.5, so s squared = 25 and the stream speed is 5 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 3 Km/h
Equal times give 26/(10+s) = 14/(10-s), so 260 - 26s = 140 + 14s and s = 3 Km/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 2 m/h
36/(10-s) - 36/(10+s) = 1.5 hours gives 72s/(100 - s squared) = 1.5, so s squared + 48s - 100 = 0 and the stream speed is 2 m/h.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 1 Km/h
Downstream and upstream speeds are in the ratio 4:3, so with downstream 4k and upstream 3k, 48/4k + 48/3k = 28/k = 14 gives k = 2, downstream 8 km/h and upstream 6 km/h, so the stream rate is 1/2 (8 - 6) = 1 Km/h.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
17 questions published of 20 printed in the book. Three items are dropped, never guessed, each zoom-verified against the scan: Q5, which gives only an upstream speed and so cannot yield a still-water speed; Q13, whose true 1-hour round-trip distance is 7.47 km, not among the printed options; and Q17, whose 4 hour 30 minute round trip is impossible at 10 km/h in still water, since even with no stream it would take 6 hours.
Still-water speed from downstream and upstream speeds and times, stream speed from speeds, distances, times and time ratios, downstream speed from still-water and upstream speeds, downstream time and distance, round-trip times, stream speed from a downstream and upstream time difference, and stream speed from a round-trip time with a downstream and upstream distance ratio.
Yes. Every published answer was solved from scratch and checked against the book's printed Answer Key (p. 758), and all 17 published answers agree with the key — there are no overrides in this set. The three dropped items are recorded, not silently corrected.
It is drawn from an FPSC model-paper book, but boats and streams speed problems appear in the same form in PPSC, NTS, PTS, CSS MPT and all Pakistan one-paper exams, so it serves aspirants of every body.
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