SOLUTION: How many miles do you live from school if when you drive 45 mph you arrive 1 minute early and when you drive 40 mph you arrive 1 minute late

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Question 987388: How many miles do you live from school if when you drive 45 mph you arrive 1 minute early and when you drive 40 mph you arrive 1 minute late

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let  L  be the distance to the school (in miles).

When you drive to school at the speed of  45 mph,  your speed is  45%2F60  miles per minutes,  and you spend  L%2F%28%2845%2F60%29%29  minutes to get school.

When you drive to school at the speed of  40 mph,  your speed is  40%2F60  miles per minutes,  and you spend  L%2F%28%2840%2F60%29%29  minutes to get school.
According to the condition,

L%2F%2840%2F60%29 - L%2F%2845%2F60%29 = 2.

Solve it:

%2860%2AL%29%2F40 - %2860%2AL%29%2F45 = 2,

%283L%29%2F2 - %284L%29%2F3 = 2,

9L - 8L = 12,

L = 12 miles.

Answer.  The distance from home to school is  12 miles.