100+ Boats and Streams Problems with Solutions Pdf - 1
Question: 1
A man can row upstream at 10 kmph and downstream at 18 kmph. Find the man’s rate in still water?
(A) 4 kmph
(B) 10 kmph
(C) 12 kmph
(D) 14 kmph
Ans: D
Speed of boatman in still water
= $${1} / {2} (Rate downstream + Rate upstream)$$
= $${1} / {2} (18 + 10)$$ = $${28} / {2}$$ = 14 kmph.
Question: 2
A man can row with the stream at 7 Km/h and against the stream at 3 Km/h. His speed in still water is
(A) 5 Km/h
(B) 7 Km/h
(C) 8 Km/h
(D) 9 Km/h
Ans: A
Speed of the man upstream = 7 Km/h.
Speed of the man downstream = 3 Km/h.
∴ Speed of the man in still water = $${1} / {2}$$ (Downstream speed + Upstream speed)
= $${1} / {2} (7 + 3)$$ = 5 Km/h.
Question: 3
A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is
(A) 2 km / hr
(B) 2.5 km / hr
(C) 4.5 km / hr
(D) 5 km / hr
Ans: B
Speed of stream = $${1} / {2} (13 – 8)$$ kmph = 2.5 kmph.
Question: 4
A man rows, downstream 32 km upstream. If he takes 6 hours to cover each distance, then the velocity (in kmph) of the current is
(A) 1
(B) 1.5
(C) 1.5
(D) 2
Ans: C
Rate downstream = $$({32}/{6})$$ kmph
Rate upstream = $${14}/{6}$$ = 7 kmph.
∴ Velocity of current = $${1}/{2} ({32}/{6} – {14}/{6})$$ kmph = $${3}/{2}$$ kmph = 1.5 kmph.
Question: 5
A boat can travel with a speed of 13 km / hr in still water. If the speed of the stream is 4 km / hr, find the time taken by the boat to go 68 km downstream.
(A) 2 hours
(B) 3 hours
(C) 4 hours
(D) 5 hours
Ans: C
Speed downstream = (13 + 4) km/hr = 17 km/hr.
Time taken to travel 68 km downstream = $$({68} / {17})$$ hrs = 4 hrs.
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