Question

Lucinda is driving away from Redding at 50 miles per hour. When she is 100 miles, Tom leaves Redding, driving at 60 miles per hour in the same direction. After how many hours will Tom pass Lucinda?

Please give an explanation
Thanks

Answer 1

Answer:

10 hours

Step-by-step explanation:

We have the equation of motion:

x = x0 +v0.t

with x0 is the point that you start to drive

v0 is the initial velocity

t is time

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call Lucinda is A, Tom is B (for easy to calculation)

choose the time Lucinda start is start point

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A: xA = 100 + 50.t

B: xB = 60.t

So two cars chasing each other when:

xA = xB

100+ 50.t = 60.t

=> t = 10 (hours)

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