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Question
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
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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
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