SOLUTION: A can run 2 kilometers for 6 minutes while B can run it for 7 minutes. B has a 1 minute headstart, how many minutes would it take A to overtake B?

Question 474449: A can run 2 kilometers for 6 minutes while B can run it for 7 minutes. B has a 1 minute headstart, how many minutes would it take A to overtake B?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A can run 2 kilometers for 6 minutes while B can run it for 7 minutes.
B has a 1 minute head-start, how many minutes would it take A to overtake B?
:
Let t = no. of minutes of running time for A
then
(t+1) = no. of minutes of running time for B
:
A's speed in km/min: 2/6 = 1/3 km/min
B's speed: 2/7 km/min
:
When A overtakes B, they will have each run the same distance
Write a distance equation; dist = speed * time;
:
t = (t+1)
multiply by 21, to clear the denominators
7t = 6(t+1)
7t = 6t + 6
7t - 6t = 6
t = 6 min for A to overtake B
:
:
Confirm this by finding the actual dist each traveled when A overtook B
(6) = 2 km
(6+1) = 2 km
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