Question

A boat covers 2 kms distance downstream in 1/2 hour while it comes back in 1 hour. Then the velocity of current is A) 1.15 kmph B) 3 kmph C) 3 kmph D) 1 kmph (With explanation)

Answer 1

•°•Speed of the Current =1 KMPH

Option is D

Answer 2

The velocity of the current is 1 kmph.

Given:

distance covered by the boat in each round = 2 km

time taken by the boat to cover the distance downstream = 1/2 hour

time taken by the boat to cover the distance upstream = 1 hour

To Find:

the velocity of the current

Solution:

let the speed of the boat be a and the speed of the current be b

then, the downstream speed of the boat = a + b

the upstream speed = a - b

we know that speed = distance/time

⇒ 2/(a + b) = 1/2

a + b = 4 ...(1)

and, 2/(a - b) = 1

a - b = 2 ...(2)

adding (1) and (2), we get-

a + b + a - b = 4 + 2

2a = 6

a = 3

⇒ b = 4 - 3 = 1

Thus, the velocity of the current is 1 kmph.

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