In a 1500 m race if A beats B by 100 m and B beats C by 150 m then by what distance in m does A beat...........

Quantitative Aptitude (CHSL) Time & distance

In a 1500-m race, if A beats B by 100 m and B beats C by 150 m, then by what distance (in m) does A beat C?

This questions was previously asked in

SSC CHSL 3rd June 2022 Shift-2

150

240

140

100

- In a 1500 m race, A beats B by 100 m.

- This means when A finishes 1500 m, B has run 1400 m.

- B beats C by 150 m.

- This means when B finishes 1500 m, C has run 1350 m.

- Now, let's calculate how far C runs when A finishes 1500 m:

- B's speed ratio: 1500 m : 1400 m

- C's speed ratio with B: 1500 m : 1350 m

- Effective speed ratio of C with A: 1400/1500 * 1350/1500

- C's distance when A runs 1500 m = 1500 * (1400/1500) * (1350/1500) = 1260 m

- A beats C by 240 m (1500 m - 1260 m).

Option:2, 240 is the correct answer. .

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