SOLUTION: Enrique cycled to his grandmother's house at 15 kph and returned home over the same route at 18 kph. If the whole trip took 7 hrs. and 20 min., how far does Enrique live from his g

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Question 381516: Enrique cycled to his grandmother's house at 15 kph and returned home over the same route at 18 kph. If the whole trip took 7 hrs. and 20 min., how far does Enrique live from his grandmother's house?

Pls. ans. this..
Found 2 solutions by stanbon, checkley79:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Enrique cycled to his grandmother's house at 15 kph and returned home over the same route at 18 kph. If the whole trip took 7 hrs. and 20 min., how far does Enrique live from his grandmother's house?
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To Grandmother's DATA:
rate = 15 kph ; distance = x km ; time = x/15 hrs
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From Grandmother's DATA:
rate = 18 kph ; distance = x km ; time = x/18 hrs
-----------------------
Equation:
time + time = 7 1/3 hrs.
----
x/15 + x/18 = 22/3
----
Multiply thru by 90 to get:
6x + 5x = 660
11x = 660
x = 60 km (distance to Grandmother's)
========================================
cheers,
Stan H.

Answer by checkley79(3341) (Show Source):
You can put this solution on YOUR website!
D=RT
D=13X
D=18(7.33-X)
13X=18(7.33-X)
13X=131,94-18X
13X+18X=131.94
31X=131.94
X=`3`.94/31
X=4.256 HOURS FOR THE 13 MPH TRIP.
D=13*4.256
D=55.33 MILES ANS.
PROOF:
55.33=18(7.33-4.256)
55.33=18*3.074
55.33=55.33