Arithmetic

Time, Speed & Distance

Medium

applied

The ratio of the speeds of a motor boat and that of the current of water is 26:4. The boat goes certain distance against the current in 6 hrs. The time taken by the boat to come back is____

3hrs 48 minutes

4hrs 24 minutes

4hrs 42 minutes

3 hrs 56 minutes

✅ Correct Option: 2

Let the common ratio multiplier be $x$ .

Speed of motorboat $= 26x$

Speed of current $= 4x$

Upstream speed $= 26x - 4x = 22x$

Downstream speed $= 26x + 4x = 30x$

The boat travels upstream in 6 hours:

$\text{Distance} = 22x \times 6 = 132x$

This is the same distance the boat covers while coming back.

$\text{Time (downstream)} = \dfrac{132x}{30x}$

$= \dfrac{132}{30}$

$= \dfrac{22}{5}$

$= 4.4 \text{ hours}$

$0.4 \text{ hours} = 0.4 \times 60 = 24 \text{ minutes}$

Therefore, the time taken by the boat to come back $= 4 \text{ hours } 24 \text{ minutes}$

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2026: 19 May Shift 2

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Ram can row a boat in still water at the rate of 6 km/hr. He finds that it takes him twice as long to row upstream of a river as to row downstream of the same river, then the speed of the current of the river is

2025: 30 May Shift 1

Ravi's speed of rowing in still water is 6 km/hr. He rows between two points in a river and return to the same starting point. He took 30 minutes more to cover the distance upstream than downstream. If the speed of the stream is 3 km/hr, then the distance between the two points is:

The ratio of the speeds of a motor boat and that of the current of water is 26:4. The boat goes certain distance against the current in 6 hrs. The time taken by the boat to come back is____

Solution

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