A river is flowing downstream at a rate of 2km/h. Murray can swim at a rate of 3km/h. Murray jumps in and swims downstream for a certain distance then turns around and swims upstream back to the start. In total it takes 30 minutes. How far did Murray swim downstream?

He covered 24.9 metres going downstream

Step-by-step explanation:

We need to find the distance covered by him in downstream.

first, we will find the total distance covered = speed × time

convert 3 km/h into m/s

3×1000/3600=0.83 m/s

then

convert 2 km/h into m/s

2×1000/3600=0.55 m/s

now

d = s×t

= 1.66×30

= 49.8 metres

now, distance covered by him in downstream

= 1.66×30/2

= 1.66×15

= 166×15/100

= 24.9 metres

hence, he covered 24.9 metres going downstream.

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