SOLUTION: Two cars leave a gas station and head in the same direction. Car A travels at 35 mph, while car B travels at 45 mph. If Car B leaves two hours after Car A, how many miles from the

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Question 697055: Two cars leave a gas station and head in the same direction. Car A travels at 35 mph, while car B travels at 45 mph. If Car B leaves two hours after Car A, how many miles from the gas station will Car B catch up to Car A?

Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Two cars leave a gas station and head in the same direction.
Car A travels at 35 mph, while car B travels at 45 mph.
If Car B leaves two hours after Car A,
how many miles from the gas station will Car B catch up to Car A?
:
Find the time required for car B to catch car A
:
Let t = travel time of Car B
then
(t+2) = travel time of Car A
:
When B catches A, they will have traveled the same distance.
Write a distance equation: Dist = speed * time
:
45t = 35(t+2)
45t = 35t + 70
45t - 35t = 70
10t = 70
t = 70/10
t = 7 hrs is the travel time of car B
then
7 + 2 = 9 hrs is the time of Car A
:
"how many miles from the gas station will Car B catch up to Car A?"
7 * 45 = 315 mi from the station
confirm this with Car A
9 * 35 = 315 mi

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Two cars leave a gas station and head in the same direction. Car A travels at 35 mph, while car B travels at 45 mph. If Car B leaves two hours after Car A, how many miles from the gas station will Car B catch up to Car A?
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Car A is 70 miles away when Car B starts (35*2)
Car B gains on Car A at 10 mi/hr (45-35)
70/10 = 7 hours to overtake Car A
7*45 = 315 miles from the station