Two cars are 300 km apart. At noon, one car heads north at a rate of 50 km/hr. Two hours later, the second car heads south at a rate of 60 km/hr. How fast is the distance between the cars changing at 5 PM?

Question

Physics

Davin Serrano

8 September, 10:13

Two cars are 300 km apart. At noon, one car heads north at a rate of 50 km/hr. Two hours later, the second car heads south at a rate of 60 km/hr. How fast is the distance between the cars changing at 5 PM?

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Answers (1)

Know the Answer?

Jared Luna · Answer 1

D = 730 Km

Explanation:

given,

distance between two car = 300 Km

at 12 : 00 PM

speed of car 1 = 50 Km/h in north direction

At 2:00 PM

speed of car 2 = 60 Km/hr in south direction

distance moved by car 1 in 5 hours

D₁ = speed x time

D₁ = 50 x 5

D₁ = 250 Km

distance moved by car 2 in 3 hours

D₂ = speed x time

D₂ = 60 x 3

D₂ = 180 Km

Distance between two cars at 5 PM

D = 300 + D₁ + D₂

D = 300 + 250 + 180

D = 730 Km