CUET CUET General Test 2024 - A man can row a boat at 8 km/h in still water. If the speed of the water current is 2 km/h and it takes him 2 hours to row to a place and come back, then how far (in km) is the place ? | PYQs + Solutions

CUET General Test 2024

Arithmetic

Time, Speed & Distance

Medium

A man can row a boat at 8 km/h in still water. If the speed of the water current is 2 km/h and it takes him 2 hours to row to a place and come back, then how far (in km) is the place ?

7.5

9.5

Correct Option: 1

Let the distance to the place be

d

km.

When rowing downstream, the effective speed is

8 + 2 = 10

km/h.

When rowing upstream, the effective speed is

8 - 2 = 6

km/h.

The time taken to row downstream is

\frac{d}{10}

hours, and the time taken to row upstream is

\frac{d}{6}

hours.

The total time for the round trip is given as 2 hours:

\frac{d}{10} + \frac{d}{6} = 2

To solve for

d

, find a common denominator (30):

\frac{3d}{30} + \frac{5d}{30} = 2.

\newline

\frac{8d}{30} = 2

\newline

8d = 60

\newline

d = 7.5

Thus, the distance to the place is 7.5 km.