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.
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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.