Question

Two cars are initially (2.50+C) km apart on a straight road. If the cars are moving...

Two cars are initially (2.50+C) km apart on a straight road. If the cars are moving toward each other, car 1 with a speed of (7.50+A) m/s and car 2 with a speed of (5.40+B) m/s, how many seconds will it take before the cars meet? Round your answer to three significant figures.

A = 7     B = 2     C = 13

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Homework Answers

Answer #1

A = 7

B = 2

C = 13

Initial distance between the two cars = D = (2.5 + C) = (2.5 + 13) km = 15.5 km = 15500 m

Speed of car 1 = V1 = (7.5 + A) m/s = (7.5 + 7) m/s = 14.5 m/s

Speed of car 2 = V2 = (5.4 + B) m/s = (5.4 + 2) m/s = 7.4 m/s

Time taken for the cars to meet = T

Distance traveled by car 1 = D1

D1 = V1T

Distance traveled by car 2 = D2

D2 = V2T

Total distance traveled by both the cars is equal to the initial distance between the cars.

D = D1 + D2

D = V1T + V2T

D = (V1 + V2)T

15500 = (14.5 + 7.4)T

T = 707.76 sec

Rounding off to three significant figures,

T = 708 sec

Time taken for the cars to meet = 708 sec

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