Question

Sukriti and saloni are athletes. Sukriti covers a distance of 1 km in 5 minutes and 50 seconds, while saloni covers the same distance in 6 minutes and 4 seconds. If both of them start together and run at uniform speed, by what distance will sukriti win a 5 km mini marathon:

Answer 1

Sukriti covers a distance of 1 km in 5min 50 seconds and saloni covers the same distance in 6 mins 4 seconds. When both of them start at the same time, Sukriti wins a 5km mini marathon by 7.692 mts.

1) Sukriti covers a distance of 1000mts in 350 seconds. So in 1 second Sukriti covers a distance of 1000/350 m.

2) Saloni covers a distance of 1000mts in 364 seconds. So in 1 second saloni covers a distance of 1000/364 m.

3) So, lead taken by sukriti in 1 second =

(1000/350) - (1000/364) m = 0.1908 m

4) Again, to complete a 5000 m race sukriti takes 350 * 5 = 1750secs

5) To complete a 5000 m race, saloni takes 364 * 5 = 1820secs.

6) So time lead taken by sukriti is (1820 - 1750) secs = 70 secs

7) Therefore, Sukriti won the 5 km marathon by a distance of 70 * 0.1908 m = 7.69 mts.