The ratio of the speed of boat in still water to the speed of stream is 16 5 A boat goes 16 5 km in ...........

Quant (SSC) Boats and Streams

The ratio of the speed of boat in still water to the speed of stream is 16 : 5. A boat goes 16.5 km in 45 minute upstream, find the time taken by boat to cover the distance of 17.5 km downstream.

30 minutes

25 minutes

50 minutes

45 minutes

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Explanation:

Let the speed of boat in still water = 16x,
speed of stream = 5x
Upstream speed = 16x – 5x = 11x
S = D / t
11x = 16.5 /45 x 60
x = 2
speed of boat in still water = 32 km/h,
speed of stream = 10 km/h
Downstream speed = 32 + 10 = 42 km/h
Distance = 17.5 km
time = 17.5 /42
= 5/12 hour
or 5/12 x 60 = 25 minutes