SOLUTION: I drove to my parents' house at 60 miles per hour. If I had driven 50 miles an hour instead, then I would have gotten there 40 minutes later. How many miles did I drive?

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Question 1060240: I drove to my parents' house at 60 miles per hour. If I had driven 50 miles an hour instead, then I would have gotten there 40 minutes later. How many miles did I drive?
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39615)   (Show Source):
You can put this solution on YOUR website!
RT=D Constant Travel Rate Rule

SPEED TIME DISTANCE DONE 60 t d HYPTHETICAL 50 t+2/3 d

Same distance but different speeds and times.

Solve this for t.

Now evaluate .

Answer by ikleyn(52767)   (Show Source):
You can put this solution on YOUR website!
.
I drove to my parents' house at 60 miles per hour. If I had driven 50 miles an hour instead,
then I would have gotten there 40 minutes later. How many miles did I drive?
~~~~~~~~~~~~~

Let D be the distance under the question. When you drove to parents at 60 mph, you spent hours. When you drove back at 50 mph, you spent hours. The difference was 40 minutes, or of an hour. It gives you an equation = . To solve it, multiply both sides by 300. You will get 6D - 5D = 200, or D = 200. Answer. The distance was 200 miles. Check. = 4 hours. = hours. 4 hours - hour = hour. Correct !

Solved.

Answer by MathTherapy(10549)   (Show Source):
You can put this solution on YOUR website!

I drove to my parents' house at 60 miles per hour. If I had driven 50 miles an hour instead, then I would have gotten there 40 minutes later. How many miles did I drive?

Let the distance be D
Then actual time taken =
Hypothetical time:
Note that 40 minutes =
We then get the following TIME equation:
Solve for D, the distance
That's all...nothing complex!
Also, NO NEED TO find actual and/or hypothetical time. That's doing more work than is required, unless of course you like doing extra work.