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?

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Q: 96 (IAS/2010)
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?

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,6,3,2,6,0,1

keywords: 

{'distance': [0, 3, 3, 3], 'km': [0, 0, 2, 1], 'hour': [5, 5, 11, 12], 'rate': [2, 3, 13, 20], 'bicycle': [0, 0, 1, 1], 'much distance': [0, 0, 2, 0], 'hours': [7, 2, 16, 9]}

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.