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A person travelled a distance of 50 km in 8 hours. He covered a part of the distance on food at the rate of 4 km per hour and a part on a bicycle at the rate of 10 km per hour. How much distance did he travel on foot

A person travelled a distance of 50 km in 8 hours. He covered a part of the distance on food at the rate of 4 km per hour and a part on a bicycle at the rate of 10 km per hour. How much distance did he travel on foot?

(a)

10km

(b)

20km

(c)

30km

(d)

40km

Answer:

(b)

Explanation

Let the distance travelled on foot be x km and on bicycle be (50-x) km. Time taken to cover x km on foot at 4 km/hr is x/4 and time taken to cover (50-x) km on bicycle at 10 km/hr is (50-x)/10. Total time taken = time taken on foot + time taken on bicycle 8 = x/4 + (50-x)/10 Solving for x, we get x = 20 km. Therefore, the person travelled 20 km on foot. Answer: 20km.