Answer:
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.
