SOLUTION: Two cars leave a gas station travling in opposite directions. One car travels at 60 mph and the other at 64 mph. In how many hours will they be 310 miles apart?

Question 154757This question is from textbook college algebra ninth edition
: Two cars leave a gas station travling in opposite directions. One car travels at 60 mph and the other at 64 mph. In how many hours will they be 310 miles apart? This question is from textbook college algebra ninth edition

Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
For this problem, you'll need to apply the "distance formula":
d = rt
where
d is distance
r is rate or speed
t is time
.
Let x = time traveled
.
"distance traveled by 60 mph car" + "distance traveled by 64 mph car" = 310
.
60x + 64x = 310
124x = 310
x = 310/124
x = 2.5 hours
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two cars leave a gas station traveling in opposite directions. One car travels at 60 mph and the other at 64 mph. In how many hours will they be 310 miles apart?
--------------
1st car DATA:
distance = x miles ; rate = 60 mph ; time = x/60 hrs.
-----------------
2nd car DATA:
distance = 310-x miles ; rate = 64 mph ; time = (310-x)/64 hrs.
-----------------
EQUATION:
time = time
x/60 = (310-x)/64
64x = 60(310-x)
124x = 60*310
x = 150
1st car time: 150*60 = 15/6 = 5/2 = 2 1/2 hrs
2nd car time is the same.
---------------------------
Cheers,
Stan H.
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