SOLUTION: Can you please help me with this story problem. Two cars start from the same place and travel in the same direction. If one car travels at 60 miles per hour and the other trave

Question 268137: Can you please help me with this story problem.
Two cars start from the same place and travel in the same direction. If one car travels at 60 miles per hour and the other travels at 45 miles per hour in how many hours will they be 60 miles apart?
Thank you for your help.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Remember, distance equals rate times time.

Let

represent the distance traveled by the slower car at

mph for some amount of time,

.

Then

is the distance traveled by the faster car at

mph for the same amount of time,

The trip taken by the slower car can be described as:

And the trip taken by the faster car can be described as:

which can be arranged thus:

Now we have two expressions for

which we can set equal to each other:

Solve for

for the answer to your problem.

Super Double Plus Extra Credit: What was the distance traveled by each of the cars in the amount of time you computed above? Do the distances differ by 60 miles?

John

RELATED QUESTIONS
Please help with this distance problem. Two cars start at an interstate interchange... (answered by psbhowmick)

please help me to solve the problem places A and B are 100km apart on a highway. one car (answered by stanbon)

Two cars start from same place and at the same place but it move in opposite direction,... (answered by Boreal)

please help me with this word problem: Two stations A and B are 90km apart and on a... (answered by ankor@dixie-net.com)

please help me find this answer. Two cars start at the same place at the same time and... (answered by Fombitz)

two cars start driving in the same direction from the same place. if one travels 59 mph... (answered by ewatrrr)

two cars start driving in the same direction from the same place. If one travels 54 mph... (answered by ikleyn)

Please help me solve this word problem: Two runners start out from the same spot on an (answered by Alan3354)

If two cars start driving in the same direction from the same place, while one is... (answered by stanbon)