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Problem Solving (PS) | Re: A car travels from point A to point B. The average speed of

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aiming4mba wrote:

A car travels from point A to point B. The average speed of the car is 60 miles/hr and it travels the first half of the trip at a speed of 90 mi/hr. What is the speed of the car in the second half of the trip?

A. 30
B. 45
C. 60
D. 75
E. 90


We can use the formula:

average = total distance/total time

Let’s denote the total distance by d and the unknown speed of the car in the second half of the trip by r.

60 =d/[(d/2)/90 + (d/2)/r)]

60 =d/[d/180 + d/2r]

60[d/180 + d/2r] = d

d/3 + 30d/r = d

1/3 + 30/r = 1

30/r = 2/3

...

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