If a person walks at 4 mph, he covers a certain distance. If he walks at 9 mph, he covers 7.5 miles more. How much distance did he actually cover?
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Given:
A certain distance is covered when a person walks at 4 mph. When he walks at 9 mph , he covers 7.5 miles more.
To find:
Actual distance covered by the man.
Calculation:
Let's consider the actual distance covered by the man to be "x" miles.
In 1st Case:
x miles is covered buy the man at a speed of 4 mph in a specified time t. Mathematically , it can be represented as :
In 2nd case:
The man covers an additional distance of 7.5 miles when he moves at a speed of 9 mph in that specified time interval.
Now , solving the 2 equations , we get :
Putting the value of t in the 1st equation :
So the final answer:
Actual distance covered by man is 6 miles..
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