Problem: A man has to go 10km to catch a bus. He walks part of the way at firm/per hour and runs the rest of the way at 12km/per hour. if he takes 1 hour 15 minutes to complete his journey, find how far he walked.

View all: MODHUMOTI BANK (PO) WRITTEN QUESTION (MATH) SOLVE | 2016

Correct Answer: His walking distance is 7 km.

Explanation:

We know, 1 hour 15 minutes = 1.25 hours

Let, time taken by the man to walk is x hours

Time taken by the man to walk is (1.25 -x) hours

So distance covered by walking is 7x km

and distance covered by walking is 12(1.25 -x) km

As of question, 7x + 12(1.25 -x) = 1O

=> 7x+15-12x = 10

=>12x-7x=15-10

=> 5x = 5

x = 1

He walked 1 hour to catch the bus.

His walking distance is = 7x km

= 7 x 1 = 7 km.

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