LUANDATO wrote:Richard began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Richard?
A. 35
B. 55
C. 39
D. 40
E. 60
Since Richard travels alone at 30 mph for 1/2 hour, the distance by which Richard gets ahead = rt = (30)(1/2) = 15 miles.
Since Carla is 15 miles behind Richard -- and she must catch up to Richard in 3 hours -- she must catch up by 5 miles each hour.
To catch up by 5 miles each hour, Carla must travel 5 mph FASTER than Richard.
Since Richard's rate = 30 mph, the required rate for Carla = 30+5 = 35 mph.
The correct answer is
A.
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