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?
:
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