Multiple choice

A man can row at the rate of 4 km/hr. in still water. If the time taken to row a certain distance upstream is 3 times as much as to row the same distance downstream, find the speed of the current. एक आदमी 4 किमी / घंटा की दर से तैर सकता है । यदि एक निश्चित दूरी को धारा के प्रतिकूल तय करने में लिया गया समय उसी दूरी को धारा के अनुकूल तय करने में लिए गए समय का 3 गुना है । धारा की गति ज्ञात कीजिये ।

  1. 2 km/hr./किमी./घंटा

  2. 3 km/hr./किमी./घंटा

  3. 4 km/hr./किमी./घंटा

  4. 5 km/hr./किमी./घंटा

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let speed of current be c km/hr. Downstream speed = 4 + c, upstream speed = 4 - c. Time = distance/speed. Given: t_upstream = 3 × t_downstream. So d/(4-c) = 3 × d/(4+c). Cross-multiply: 4 + c = 3(4 - c). 4 + c = 12 - 3c. 4c = 8, c = 2 km/hr. Option A is correct.