Math Help - Race running

Sneha,Shilpa,Sushma join a running race.The distance is 1500 metres.
Sneha beats Shilpa by 30 metres and Sushma by 100 metres.By how much
could Shilpa beat Sushma over the full distance if they both ran as
before?

Hello, joyiu!

This can be solved without Alger=bra ... just some serious Thinking.

have a 1500-meter race.

beats by 30 meters and by 100 meters.

By how much would beat over the full distance
. . if they both ran as before?

When ran 1500 meters:
. . ran only 1470 meters,
. . and ran a mere 1400 meters.

Hence, speed is only of speed.

When runs 1500 meters,
. . runs only: . meters.

Therefore, beats by about: meters.