# 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:

• 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)
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