Arithmetic

Time, Speed & Distance

Medium

applied

A boat can row at the speed of 16 km/hr in still water. If the river is flowing at 8 km/hr, and it takes 8 hours for a round trip, then the distance between the two places is:

36 km

32 km

48 km

54 km

✅ Correct Option: 3

The boat travels at 16 km/hr in still water. The river flows at 8 km/hr. The total time for a round trip is 8 hours.

When the boat travels downstream (with the river flow), the effective speed is:

Downstream speed $= 16 + 8 = 24$ km/hr

When the boat travels upstream (against the river flow), the effective speed is:

Upstream speed $= 16 - 8 = 8$ km/hr

Let the distance between the two places be $d$ km.

Time taken for downstream journey $= \dfrac{d}{24}$ hours

Time taken for upstream journey $= \dfrac{d}{8}$ hours

Total time for round trip:

$\dfrac{d}{24} + \dfrac{d}{8} = 8$

To solve, convert to common denominator 24:

$\dfrac{d}{24} + \dfrac{3d}{24} = 8$

$\dfrac{4d}{24} = 8$

$\dfrac{d}{6} = 8$

$d = 48$

Therefore, the distance between the two places is 48 km.

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A boat can row at the speed of 16 km/hr in still water. If the river is flowing at 8 km/hr, and it takes 8 hours for a round trip, then the distance between the two places is:

Solution

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