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Ram cycles from a place A to B and again back to A at a uniform speed of 12 km/h. His friend Gopi sails on a boat from A to B and back to A where his
Question

Ram cycles from a place A to B and again back to A at a uniform speed of 12 km/h. His friend Gopi sails on a boat from A to B and back to A where his still water speed is 10 km/h and flow of river is 4 km/h. Who will return to A first?

A.

Gopi

B.

Ram

C.

Cannot be determined

D.

Both reach at same time

Correct option is B

Given:

Speed of Ram = 12 km/h

Speed of Gopi in still water = 10 km/h

Speed of flow = 4 km/h

formula used:

Speed = Distance/Time

Average speed =2xy/(x+y)

Solution:

Uniform speed of Ram = 12 km/h

Upstream of Gopi = 10 – 4 = 6 km/h

Downstream of Gopi = 10 + 4 = 14 km/s

Average speed of Gopi =(2×6×14)(6+14)\frac{(2×6×14)}{(6+14)}​ 

(2×6×14)20\frac{(2×6×14)}{20}

= 84/10

= 8.4 km/h

Thus, Ram return to A first.

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