In a 100-meter race, A beats B by 20m and B beats C by 5m. In the same race, find the distance by which A beats C.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 24 meters.
A beats B by 20 meters.
When A runs 100 meters, B runs 100 - 20 = 80 metre
Ratio of the distance covered by A and B = 100 : 80 = 5 : 4
B beats C by 5 meters.
When B runs 100m, C runs 100 - 5 = 95 meter
Ratio of the distance covered by B and C = 100 : 95 = 20 : 19
So, A : B : C = 25 : 20 : 19
Let A runs 25 units, B runs 20 units, and C runs 19 units.
If A runs 100 meter = (25 × 4)
Then, C runs 19 × 4 = 76 meter
Now, A beats C by 100 - 76 = 24 meter
Therefore, A beats C by 24 meters.