Dhanvanth can swim at 15 km/hr in stagnant water. In a river with 3 km/hr current, he swims to a certain distance and comes back within 100 min. What is the distance between the two points? A) 11km B) 13km C) 19km D) 12km

1 Answer

Answer :

ANSWER: D

Explanation:

Speed in still water (a) = 15 km/hr

Speed in current( b) = 3 km/hr

Upstream speed = a – b

= 15 – 3

= 12 km/hr

Downstream speed = a + b

= 15 + 3

= 18 km/hr

Let the distance between the 2 points be s km.

Total journey time = s /12 + s / 18 = 100 / 60

3s + 2s / 36 = 5 / 3

5s / 36 = 5 / 3

15x = 36 * 5

x = 36 * 5 / 15

= 12 km

Distance between the two points is 12km

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