In a 100-m race, A beats B by 20 m and B beats C by 20 m. By how much distance does A beat C?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 36 m.
According to the question;
When A covers 100 m, B covers 80 m, and when B covers 100 m, C covers 80 m
Hence, the distance ratio of A to B = 10 : 8
⇒The distance ratio of B to C = 10 : 8
Equating eq(1) × 10 and eq(2) × 8, we get
⇒ A : B : C = 100 : 80 : 64
Therefore, A beats C by = 100 - 64 = 36 m.