A man takes 3 hours and 45 minutes to boat 15 km with the current in a river and 2 hours 30 minutes to cover a distance of 5 km against the current. Speed of the boat in still water and speed of the current respectively will be

A) 3 km/hr, 1 km/hr

B) 1 km/hr, 3 km/hr

C) 2 km/hr, 4 km/hr

D) none of these

Correct answer:
A) 3 km/hr, 1 km/hr

Description for Correct answer:

\( \Large V_{1} + V_{2} = \frac{15}{3\frac{3}{4}} \) = 4 km/hr  ... (1)

\( \Large V_{1} - V_{2} = \frac{5}{2\frac{1}{2}} \) = 2 km/hr ... (2)

Solving eqations (i) and (ii), we get

\( \Large v_{1} = 3 km/hr \) and \( \Large v_{2} = 1 km/hr \)



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