Question 69

A man completes his journey in 6 hours. He covers half the distance at 10 km/h and the rest at 20 km/h. The length of the journey is:

Solution

Let's assume the total distance is 2d.

A man completes his journey in 6 hours. He covers half the distance at 10 km/h and the rest at 20 km/h.

$$time=\frac{distance}{speed}$$

$$6=\frac{d}{10}+\frac{d}{20}$$

$$6=\frac{2d}{20}+\frac{d}{20}$$

$$6=\frac{3d}{20}$$

$$2=\frac{d}{20}$$

d = 40

total distance = 2d

= $$2\times40$$

= 80 km

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