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Question

It takes 3 hours for a boat to travel 27 km upstream and the same boat can travel 30 km downstream in 2 hours.  The speed of the current is 12 km/hr


  1. True

  2. False


Solution

The correct option is B

False



Let speed of boat be x km/hr

Let speed of current be y km/hr

upstream speed = x - y km/hr

downstream speed = x + y km/hr

Speed = distancetime

Then according to the first condition

27xy = 3  x - y = 9..........(i)

Then according to the second condition

30x+y = 2  x + y = 15..........(i)

adding (i) and (ii)

2x = 24

x = 12 km/hr

substitute x = 12 in (i) we get 

y = 3 km/hr

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