SOLUTION: If a train leaves at 8:00 and is traveling 60 miles an hour and a car leaves 4 hours later and is traveling at 80 miles an hour, when will the car catch up to the train

Question 548906: If a train leaves at 8:00 and is traveling 60 miles an hour and a car leaves 4 hours later and is traveling at 80 miles an hour, when will the car catch up to the train
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Start with the basic distance equation:
d = r*t
.
Train:
d = 60*t
.
Car leaves 4 hours later going in the same direction:
d = 80*(t-4)
.
When the car overtakes the train, d = d.
.
60t = 80(t-4)
60t = 80t -320
-20t = -320
t = 16
.
In 16 hours the car will catch up.
8:00 a.m. + 16 hr = 24:00 = midnight
.
Check the distances to make sure they're the same.
60*16 = 960
The car travels for only 12 hours.
80*12 = 960
Correct.
.
Done.
RELATED QUESTIONS
A train traveling 60 miles per hour leaves for a certain town. Two hours later, a car... (answered by stanbon)

A train traveling 60 miles per hour leaves for a certain town. Two hours later, a car... (answered by richwmiller)

A train traveling at 50 miles per hour leaves for a certain town. Two hours later, a bus (answered by ptaylor)

A train traveling at 50 miles per hour leaves for a certain town. Two hours later, a... (answered by Edwin McCravy)

. A train traveling at 50 miles per hour leaves for a certain town. Two hours later, a... (answered by stanbon,ankor@dixie-net.com)

A train leaves Transylvania Station at 8:00 A.M. and travels eastward at a rate of 25... (answered by drj)

A train traveling at 40 kph leaves the station at 7:00 am. An hour later, a car leaves... (answered by mananth)

A car leaves a town traveling at 40 miles per hour. Two hours later a second car leaves... (answered by josmiceli)