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):

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

$\frac{8d}{30} = 2$

$8d = 60$

$d = 7.5$

Thus, the distance to the place is 7.5 km.

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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 ?

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