A man can walk uphill at the rate of 2 5 km h and downhill at the rate of 3 25 km h If the total tim...........

Quant (SSC) Time & distance

A man can walk uphill at the rate of 2.5 km/h and downhill at the rate of 3.25 km/h. If the total time required walking a certain distance up the hill and return to the starting position is 4 h 36 min, what is the distance he walked up the hill?

3.5 km

4.5 km

5.5 km

6.5 km

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Explanation:

Let the walked up at a distance of x km. then
x /2.5 + x /3.25 = 4 36/40
⇒ 10x/25 + 100x/325 = 4 3/5
⇒ 130x + 100x /325 = 23/5
⇒ 230x /325 = 23/5
⇒ 10x = 65
⇒ x = 6.5 km