Elene and abbi are in a race. Elene can run 3 meters per second and abbi can run 2 meters per second. Elene gives abbi a 10 meter head start. How long will it take for elene to catch abbi?

10 Seconds

Step-by-step explanation:

Speed of Elene = 3m/s

Speed of Abbi = 2m/s

Let the time be t seconds taken by Elene to catch abbi.

Distance for any speed S and time is calculated by formula given below

Distance = speed * time

distance covered by Elene in time t = 3m/s * t = 3t m - ->equation A distance covered by Abbi in time t = 2m/s * t = 2t m - -> equation B

Since it is given that Elene has given abbi 10 m head start it means that

Elene has to run extra 10 meters than Abbi to catch abbi.

Thus we can say that

distance run by Elene = 10 m + distance run by Abbi

Substituting that value distance run by Elene from equation A

and distance run by Abbi from equation B

we have

3t = 2t + 10

=>3t - 2t = 10

=> t = 10

Therefore it will take 10 second for elene to catch abbi.