John jogged from his house to the gym at 6 miles per hour and walked back along the same route at 4 miles per hour. If the entire trip took him one hour, how many miles is his house from the gym? Express your answer as a decimal to the nearest tenth.
Answers
Given : John jogged from his house to the gym at 6 miles per hour and walked back along the same route at 4 miles per hour.
entire trip took him one hour,
To Find : how many miles his house from the gym
Solution:
Let say Distance between gym & House = D Miles
John jogged from his house to the gym at 6 miles per hour
Hence time taken = D/6 hr
walked back along the same route at 4 miles per hour.
Hence time taken = D/4 hr
Total Time taken = D/6 + D/4
= (2D + 3D)/12
= 5D/12 hrs
entire trip took him one hour
=> 5D/12 = 1
=> D = 12/5
=> D = 2.4
2.4 Miles is his house from the gym
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