SOLUTION: A Pontiac Grand Am enters the Will Rogers Turnpike traveling at 50 miles per hour. One-half hour later, a Ford Mustang enters the turnpike at the same location and travels in the s

Question 1025801: A Pontiac Grand Am enters the Will Rogers Turnpike traveling at 50 miles per hour. One-half hour later, a Ford Mustang enters the turnpike at the same location and travels in the same direction at 80 miles per hour. How long will it take for the mustang to catch up to the Grand Am? When it catches up, how far will the two cars have traveled on the turnpike?
Please help! Thanks!
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the distance traveled by both is same when one catches up with the other.
Let them meet at distance x
Grand Am speed= 50 mph
MUSTANG speed= 80 mph
hours
Time difference between the starting of the two= 0.50

Time taken by Grand Am = X / 50
Time taken by Car II = X / 80

X / 50 - X / 80 = 0.5

LCD - 400
Multiply equation by 400 400
400 / 50 x- x / 80 x=
8 x - 5 = 200
3 x = 200
/ 3
x= 66.67 miles

RELATED QUESTIONS
A car enters a freeway traveling 50 kilometer per hour. One hour later another car enters (answered by Nate)

A chevy is traveling at 15 miles per hour and is 200 yards ahead. A ford is traveling... (answered by ankor@dixie-net.com)

Students are traveling in two cars to a football game 145 miles away. One car travels at... (answered by josgarithmetic)

A car enters the freeway traveling at 60 miles per hour. A second car enters the freeway (answered by Fombitz,josmiceli)

A truck enters a freeway traveling 40 mph. An hour later, a car enters the same freeway... (answered by Fombitz)

if one train leave the station traveling at 30 mph and another train leaves a half hour... (answered by stanbon,josmiceli)

I am traveling in my car for two and a half hours at a rate of 50 miles per hour how many (answered by ayushk,TheInstructor)

A car enters a freeway travelling 50 kilometers per hour. One hour later another car... (answered by 303795)