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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

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.