SOLUTION: driving to your friends house, you travel at an average rate of 35 miles per hour. on your way home, you travel at an average rate of 40 miles per hour. if the round trip took you

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Question 773566: driving to your friends house, you travel at an average rate of 35 miles per hour. on your way home, you travel at an average rate of 40 miles per hour. if the round trip took you 45 minutes, how far is it from your house to your friends house
Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website!
Let distance to or from, be d, unknown.
This is what we know initially:

GOING_________________35________(__)________(d)
RETURN________________40________(__)________(d)
Total___________________________0.75________(__)

Make expressions for time in hours and fill that information into the table:
GOING_________________35________(d/35)________(d)
RETURN________________40________(d/40)________(d)
Total___________________________0.75________(__)

Make the sum of time equation indicated.

or if desired,

Solve for d.

LCD is 5*7*8, so multiply the members by 5*7*8 and simplify.

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