Two cars are traveling along perpendicular roads, car A at 40 mi/hr, car B at 60 mi/hr. At noon, when car A reaches the intersec tion, car B is 90 mi away, and moving toward it. At 1 p.m. the distance between the cars is changing, in miles per hour, at the rate of:
1 answer:
Answer:
negative sign indicates that the distance is decreasing with time
Explanation:
Let at any time t after noon that is 12 p.m.
distance traveled by car A = 40t
distance traveled by car B = 90-60t
then distance between the two cars at time t
............1
also, at time 1 p.m.
distance
D=50 Km
differentiating equation 1 w.r.t. t we get
put t= 1 and D= 50 we get
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