Arithmetic

Time, Speed & Distance

Medium

applied

A steamer can row at the speed of 16km/hr in still water. If the river is flowing at 8 km/hr and it takes 12 hours for a round trip, then the distance between the two places is:

48 km

72 km

96 km

54 km

✅ Correct Option: 2

A steamer moves at 16 km/hr in still water. The river flows at 8 km/hr.

When traveling downstream (with the current):

Speed = 16 + 8 = 24 km/hr

When traveling upstream (against the current):

Speed = 16 - 8 = 8 km/hr

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

Time to travel downstream = $\dfrac{d}{24}$ hours

Time to travel upstream = $\dfrac{d}{8}$ hours

The total time for the round trip is 12 hours:

$\dfrac{d}{24} + \dfrac{d}{8} = 12$

To solve, find a common denominator:

$\dfrac{d}{24} + \dfrac{3d}{24} = 12$

$\dfrac{4d}{24} = 12$

$\dfrac{d}{6} = 12$

$d = 72$

Therefore, the distance between the two places is 72 km.

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2025: 3 June Shift 2

A man rows downstream 30 km and upstream 20 km. If he takes 5 hours to cover each distance, then the speed of stream is

A steamer can row at the speed of 16km/hr in still water. If the river is flowing at 8 km/hr and it takes 12 hours for a round trip, then the distance between the two places is:

Solution

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