SOLUTION: I need help solving this problem. It is 11:00 am when you leave point A. You stop for a 30 minute lunch break at point B, then you drive the rest of the way to your destination at

Question 897558: I need help solving this problem. It is 11:00 am when you leave point A. You stop for a 30 minute lunch break at point B, then you drive the rest of the way to your destination at point C, which is twice the distance you drove from point A to point B. You drive at an average speed of 50 mph for the trip from point A to point B, and you drive an average of 60 mph from point B to point C. If you arrive at point C at 1:43 pm, what is the total distance you drove
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in hrs to get from A to B
Let = the distance from A to B
Let = actual time spent driving from B to C
-----------------
Equation for A to B:

Equation for B to C:

-----------------
also,
11 AM to 1:43 PM is
hrs + hrs
hrs, so
hrs

hrs

----------------------

By substitution:

and

You drove 124.6875 miles
check:

and

close enough

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