DRT problem

Algebra Level pending

Annie left the science museum and drove south. Tony left three hours later driving 42 42 km/h faster in an effort to catch up to her. After two hours, Tony finally caught up. Find Annie's average speed.


The answer is 28.

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1 solution

Mei Zhan
Jun 24, 2020

If we set Annie's speed as s s and her speed as t t , we can find s t = ( s + 42 ) ( t 3 ) st=(s+42)(t-3) . Because the problem also told us that Tony drove 2 2 hours, so t = 5 t=5 .
We can rewrite our equation as 5 s = 2 ( s + 42 ) 5s=2(s+42) . Solving this, we get s = 28 \boxed{s=28} .

I meant her time as t

Mei Zhan - 11 months, 3 weeks ago

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