SOLUTION: john traveled 40 mph to his friends house on the return trip back home he traveled 45 mph It took him 4hrs round trip Question: What was the total distance traveled? Thank yo

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Question 119375: john traveled 40 mph to his friends house
on the return trip back home he traveled 45 mph
It took him 4hrs round trip
Question: What was the total distance traveled?
Thank you

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
john traveled 40 mph to his friends house
on the return trip back home he traveled 45 mph
It took him 4 hrs round trip
Question: What was the total distance traveled?
:
Let d = distance one way:
:
Write a time equation; Time = dist/speed
;
Time at 40mph + time at 45 mph = 4 hrs
:
d%2F40 + d%2F45 = 4
:
Multiply equation by; 40*45 = 1800; gets rid of the denominators:
1800*d%2F40 + 1800*d%2F45 = 1800(4)
:
45d + 40d = 7200
:
85d = 7200
d = 7200%2F85
d = 84.7 miles, one way distance
:
2*84.7 = 169.4 total miles
:
:
Check our solution:
84.7%2F40 + 84.7%2F45 =
2.1175 + 1.88 = 3.997 ~ 4 hrs