Multiple Choice Questions

If the ratio of speeds of 39 A 39 and 39 B 39 is 5 6 and 39 B 39 allows 39 A 39 a start of 70 metres...........

Quantitative Aptitude Time & distance

If the ratio of speeds of 'A' and 'B' is 5 : 6 and 'B' allows 'A' a start of 70 metres in a 1.2 km race, who will win the race and by what distance ?

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EPFO AO EO 2021

A' wins by 30 m.

'B' wins by 200 m.

'B' wins by 130 m.

The race finishes in a dead heat.

- The ratio of speeds between 'A' and 'B' is 5:6. This means 'B' is faster.

- The total race distance is 1.2 km, which is 1200 meters.

- 'A' starts with a 70-meter lead.

- If 'A' runs 1200 meters, 'B' would cover 1200 meters × (6/5) = 1440 meters in the same time.

- 'B' needs to cover 1200 - 70 = 1130 meters to pass 'A'.

- Compute: 1130 meters × (6/5) = 1356 meters, less than 1440 meters.

- 'B' wins the race.

Correct Answer: Option 3, ‘B’ wins by 130 m.

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