SOLUTION: At 7:00 AM, Brooke leaves home to go on a business trip driving 35 miles per hour. Fifteen minutes later, Bart discovers that Brooke forgot her presentation materials. He drives

Question 271353: At 7:00 AM, Brooke leaves home to go on a business trip driving 35 miles per hour. Fifteen minutes later, Bart discovers that Brooke forgot her presentation materials. He drives 50 miles per hour to catch up with her. If Bart is delayed 30 minutes with a flat tire, when will he catch up with Brooke?
I have tried developing an equation using rt=d, but cannot seem to develop the appropriate formula to solve the problem. Thank you for helping me.

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
D=RT
D=35T FOR BROOKE'S TRIP
D=50(T-1/4-1/2)
BECAUSE THE DISTANCES ARE THE SAME SET THESE 2 EQUATIONS EQUAL & SOLVE FOR T.
35T=50(T-3/4)
35T=50(T-.75)
35T=50T-37.5
35T-50T=-37.5
-15T=-37.5
T=-37.5/-15
T=2.5 HOURS BART WILL CATCH BROOKE.
PROOF:
35*2.5=50(2.5-.75)
87.5=50*1.75
87.5=87.5

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