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AP® Calculus AB-BC

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Difficult

Related Rates and Parametric Equations

APCALC-KF4FOL

Car A is traveling due east on Highway 60 at 40 mph and is 50 miles from the intersection of Highway 60 and Highway 95 as shown in the diagram. At the same instant another car leaves the intersection of the two highways on Highway 95 traveling due south at 45 mph.

At what rate is the distance between the two cars changing after 30 minutes?

A

$37.5 mph$

B

$-5 mph$

C

$59 mph$

D

$-10 mph$