Michael and ben decide to run a 100m race. while training for the race michael's best time was 13.5s and ben's best time was 15.0s. how far behind should michael start so that the race end in a tie? assume that ben and michael will run at top speed.

11.05 m

Explanation:

Given:

Total distance = 100 m

Time taken by Michael = 13.5 s

Time taken by Ben = 15 s

Thus,

Speed of Michael = Distance / Time = 100 / 13.5 = 7.407 m/s

Speed of Ben = Distance / time = 100 / 15 = 6.67 m/s

Now,

let Micheal is 'x' m far behind the Ben

thus,

total distance covered by Michael to complete the race = (x + 100) m

now for equal time to complete the race by both

also, time = Distance / Speed

thus,

Time taken by Michael  = Time taken by Ben

or

( 100 + x ) / 7.407 = 100 / 6.67

or

x = 11.05 m

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