A man starts from a place P and reaches the place Q in 7 hours He travels 1 4 th of the distance at ...........

Quant (SSC) Time & distance

A man starts from a place P and reaches the place Q in 7 hours. He travels 1/4 th of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance, in kilometer, between P and Q is:

70 km

72 km

80 km

90 km

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Explanation:

Let one-fourth of the distance between P and Q be x km
then,
Time taken for the first one-fourth distance = x/10 km/hr
and
Time taken for the remaining distance = 3x/12 km/hr
Since Total time taken is 7 hours.
⇒ 7 = x/10 + 3x/12
On solving, x = 20
Total distance = 4x = 80 km