Question 57

A man starts off on a journey. He travelled for 16 hours in total. The first half of the distance was covered at 40 km/h and the second half at 60 km/h. What was the distance covered?

Solution

Let's assume the total distance covered by a man is 2d.

He travelled for 16 hours in total. The first half of the distance was covered at 40 km/h and the second half at 60 km/h.

$$\frac{d}{40}+\frac{d}{60}\ =\ 16$$

$$\frac{3d}{120}+\frac{2d}{120}\ =\ 16$$

$$\frac{5d}{120} =\ 16$$

$$\frac{d}{24} =\ 16$$

$$d=24\times\ 16$$

= 384

total distance covered by a man = 2d

= $$2\times384$$

= 768 km

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