Curioustab

A man travel 35 km partly at 4 km/hr if he covers former distance at 5 km/hr and later distance at 4 km/hr he could cover 2 km. more in the same time. The time taken to cover the whole distance at original rate is?

9 hours
7 hours
4 1/2 hours
8 hours

Correct Answer: 8 hours

Explanation:

Suppose the man covers first distance in x hrs and second distance in y hrs.
Then, 4x + 5y = 35 and 5x + 4y = 37
Solving these equations, we get
x = 5 and y = 3
∴ Total time taken = 5 + 3 hrs.
= 8 hrs.

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