A defeats B by 10 metres in a 100 metre race B defeats C by 10 metres in a 100 metre race By what di...........

Quantitative Aptitude (MTS) Time & distance

A defeats B by 10 metres in a 100-metre race. B defeats C by 10 metres in a 100-metre race. By what distance will A defeat C

in a 100-metre race?

This questions was previously asked in

SSC MTS 11th July 2022 Shift-2

19 metres

18 metres

21 metres

20 metres

- In a 100-metre race, A defeats B by 10 metres. This means when A finishes the race, B is at 90 metres.

- B defeats C by 10 metres in another 100-metre race. This means when B finishes, C is at 90 metres.

- To find out how far C would be when A finishes a 100-metre race, calculate C's position relative to A's speed.

- When A finishes, B is at 90 metres. So, B covers 9/10 of the distance.

- If C covers 9/10 of the distance when B runs 100 metres, C covers 81 metres when B reaches 90 metres.

- Thus, when A finishes, C is at 81 metres.

Hence, A defeats C by 19 metres.

Your understanding seems correct!

Correct Answer: Option 1 - 19 metres

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