100+ Boats and Streams Questions for IBPS, SBI PO, SO, Clerk - 1
Question: 1
Twice the speed downstream is equal to the thrice the speed upstream, the ratio of speed in still water to the speed of the current is
(A) 1:3
(B) 1:5
(C) 2:3
(D) 5:1
Ans: D
Let, speed in still water = x km/h.
Speed of current = y km/h.
Speed downstream = (x + y) km/h.
Speed upstream = (x – y) km/h.
∴ 2(x + y) = 3(x – y)
∴ x = 5y
or, $${x}/{y}$$ = $${5}/{1}$$ or 5 : 1.
Question: 2
The speed of a boat in still water is 8 Km/h. If its speed downstream be 15 Km/h, then speed of the stream is
(A) 7 Km/h
(B) 7.5 Km/h
(C) 9 Km/h
(D) 9.5 Km/h
Ans: A
Speed of the boat downstream = 15 Km/h.
Speed of the boat in still water = 8 Km/h.
Let the speed of the stream = y Km/h.
We have, 15 = 8 + y
∴ y = 15 – 8 = 7 Km/h.
Question: 3
A boat takes 8 hours to cover a distance while travelling upstream, whereas while travelling downstream it takes 6 hours. If the speed of the current is 4 kmph, what is the speed of the boat in still water?
(A) 12 kmph
(B) 16 kmph
(C) 24 kmph
(D) 28 kmph
Ans: D
Let the speed of the boat in still water be x kmph.
Then, speed downstream = (x + 4) kmph,
Speed upstream = (x - 4) kmph.
∴ (x + 4) × 6 = (x - 4) × 8
⇒ 6x + 24 = 8x - 32 ⇒ 2x = 56 ⇒ x = 28 kmph.
Question: 4
The speed of a boat when travelling downstream is 32 km/hr, whereas when travelling upstream it is 28 km/hr, what is the speed of the boat in still water and at the speed of the stream?
(A) 2 km/hr
(B) 3 km/hr
(C) 4 km/hr
(D) 5 km/hr
Ans: A
Speed of boat in still water =$${1}/{2}(32 + 28)$$ km/hr = 30 km/hr.
Speed of stream = $${1}/{2}(32 - 28)$$ km/hr = 2 km/hr.
Question: 5
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is
(A) 4 .2 km / hr
(B) 9 km / hr
(C) 11 km / hr
(D) 13 km /hr
Ans: D
Rate upstream = $$({7} / {42} × 60)$$ kmph = 10 kmph.
Speed of stream = 3 kmph.
Let speed in still water be x km/hr.
Then, speed upstream = (x - 3) km/hr.
∴ x - 3 = 10 or x = 13 km/hr.
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