A man can reach a certain place in 40 hours If he reduces his speed by 1 15th he goes 5 km less in t...........

Quant (SSC) Time & distance

A man can reach a certain place in 40 hours. If he reduces his speed by 1/15th, he goes 5 km less in that time. Find the total distance covered by him.

60 km

85 km

72 km

52 km

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Explanation:

Let Distance = D km, Speed = S km/h
Time = Distance /speed
40 = distance /speed .....i
After reducing speed,
Distance = Distance – 5 km, Speed = S x 14/15 km/h
Time = Distance /speed
40 = (Distance - 5) / speed x 14/15 ......ii
After solving equation 1 and 2,
Distance /spped = (Distance - 5 /Speed x 14/15
14 Distance = 15 (Distance – 5)
14 Distance = 15 Distance – 75
Distance = 75 km.