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In a 100 Meters Race, a Beats B by 20 Meters B Beats C by 5 Meters. in the Same Race, A Beats C By: - Mathematics

Question

MCQ

In a 100 meters race, A beats B by 20 meters B beats C by 5 meters. In the same race,  A beats C by: 

Options

  • 26 meters

  • 25 meters 

  • 24 meters 

  • 22 meters 

Solution

24 meters 

Explanation:

Let A complete the race in t sec.

A's running speed`=100/"t"` m/sec

B's running speed`((100-200))/"t"=80/"t"` m/sec

Time taking by B to complete 100 m race

`=100/(80//"t")=5/4"t"`

C's running speed`=((100-5))/(5//4"t")=76/"t"`

Now, A beat C by a distance

`(100/"t"-76/"t")xx"t"` = 24 m

Concept: Time, Distance and Speed(Entrance Exam)
  Is there an error in this question or solution?
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