SOLUTION: Ahmad travels from his house to his friend's house averaging 60 miles per hour. On the return trip, he averages 50 miles per hour. His total driving time for the round trip is 11 h

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Question 935180: Ahmad travels from his house to his friend's house averaging 60 miles per hour. On the return trip, he averages 50 miles per hour. His total driving time for the round trip is 11 hours. What is the distance, in miles, between Ahmad's house and his friend's house?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the distance in miles
between their houses
Let +t+ = the time in hours for
Ahmad to go from his house
to his friend's house
------------------------------
Equation for Ahmad's house to friend's house:
(1) +d+=+60t+
Equation for friend's house to Ahmad's house:
(2) +d+=+50%2A%28+11+-+t+%29+
-----------------------
By substitution:
(2) +60t+=+50%2A%28+11+-+t+%29+
(2) +60t+=+550+-+50t+
(2) +110t+=+550+
(2) +t+=+5+
and
(1) +d+=+60t+
(1) +d+=+60%2A5+
(1) +d+=+300+
It is 300 miles to Ahmad's friend's house
check:
(2) +d+=+50%2A%28+11+-+t+%29+
(2) +300+=+50%2A%28+11+-+5+%29+
(2) +300+=+50%2A6+
(2) +300+=+300+
OK

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Ahmad travels from his house to his friend's house averaging 60 miles per hour. On the return trip, he averages 50 miles per hour. His total driving time for the round trip is 11 hours. What is the distance, in miles, between Ahmad's house and his friend's house?
--------------------
Avg speed of the round trip = 2*60*50/(60+50) = 6000/110 = 600/11 mi/hr
---
d = r*t
RT distance = (600/11)*11 = 600 miles
One way distance = 300 miles