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Question

A man had to walk a certain distance. He covered one thirds of it at 5 kmph and the remaining distance at 6 kmph. If the total time taken is 40 minutes, then find the total distance.

A
3.75 km
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B
4 km
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C
5.25 km
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D
6.5 km
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Solution

The correct option is A 3.75 km
We know that,
Speed=DistanceTime

Let the distance be x.
The man covers one third of it at 5 kmph.
Hence, time taken is x3÷5=x15 hr.

The remaining distance is xx3=2x3 km.
The man covers this distance at a speed of 6 kmph.
Hence, time taken is 2x3÷6=x9 hr.

Therefore, the total time taken is
x15+x9 hr., which is equal to 40 minutes or 4060 hr.

Hence,
x15+x9=4060
5x+3x45=23 8x45=23 x=2×453×8 x=9024 x=3.75

Thus, the total distance is 3.75 km.

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