SOLUTION: Alan and Bill are going to have a 400-meter race, but Alan gets a head start because he is slower. Their best times of the season are 83 seconds and 76 seconds. How much (distance)

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Question 858595: Alan and Bill are going to have a 400-meter race, but Alan gets a head start because he is slower. Their best times of the season are 83 seconds and 76 seconds. How much (distance) of a head start should Alan get? (Round your answer to the nearest whole number.)
Answer by lwsshak3(11628) About Me  (Show Source):
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Alan and Bill are going to have a 400-meter race, but Alan gets a head start because he is slower. Their best times of the season are 83 seconds and 76 seconds. How much (distance) of a head start should Alan get? (Round your answer to the nearest whole number.)
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speed=distance/travel time
Bill's best speed=400/76 m/sec
Alan's best speed=400/83 m/sec
If both runners do their best times, alan would finish 7 seconds after bill
so, alan's head start distance=7 sec*his best speed=7*400/83=34 m