#### 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)

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