SOLUTION: Car "A" is travelling at a speed of 40MPH. Car "B" is 170 yards in front. Both cars travel for 530 yards and during that time car "A" reaches speeds of 70MPH to catch upto car "B

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Question 495931: Car "A" is travelling at a speed of 40MPH.
Car "B" is 170 yards in front.
Both cars travel for 530 yards and during that time car "A" reaches speeds of 70MPH to catch upto car "B".
What speed is car "B" travelling at?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Car "A" is traveling at a speed of 40MPH.
Car "B" is 170 yards in front.
Both cars travel for 530 yards and during that time car "A" reaches speeds of 70MPH to catch up to car "B".
What speed is car "B" traveling at?
:
What bothers me about this problem is that it says both cars travel 530 yds
Obviously for Car A to catch up with car B, it will have travel further than B
:
When A catches B
Car B travels 530 yds
Car A travels 530 + 170 = 700 yds
:
Find the average velocity of Car A that uniformly accelerates from 40 to 70 mph
Av = %28%2870%2B40%29%29%2F2
Av = 55 mph
:
Let s = speed of car B
:
s%2F55 = 530%2F700
700s = 55 * 530
700s = 29150
s = 29150%2F700
s = 41.643 mph is Car B's speed