SOLUTION: A girl runs to the park to get her bicycle. Then she rides the bicycle back home. The total time for the round-trip is 45 minutes. Her running speed is 8 kph and her riding speed i

Question 1116802: A girl runs to the park to get her bicycle. Then she rides the bicycle back home. The total time for the round-trip is 45 minutes. Her running speed is 8 kph and her riding speed is 24 kph. How far is the park from her home?
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.

Let L be the one way distance.


Then you have this "time" equation to find L:

 +  =    of an hour.      (!)


It is "time" equation, because each fraction in the left side is the time to cover the distance L at the corresponding speed.


From equation (1), after multiplying its both sides by 24, you have


3L + L = 3*6,   or

4L = 18  ====>  L =  =  =  = 4.5 km.


Check.   +  =  +  =  +  =  =  of an hour.   ! Correct !

Solved.

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