SOLUTION: two people walk on a circular 1 mile track. both walk with uniform speed and meet in 6 minutes. If both walk in the same directin, it requires 1 hour to gain a lap. what was their

Question 365842: two people walk on a circular 1 mile track. both walk with uniform speed and meet in 6 minutes. If both walk in the same directin, it requires 1 hour to gain a lap. what was their rate of walking.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
two people walk on a circular 1 mile track.
both walk with uniform speed and meet in 6 minutes.
If both walk in the same direction, it requires 1 hour to gain a lap.
what was their rate of walking.
:
Let a = 1st person's walking speed (mph)
Let b = 2nd person's walking speed
:
We know the two people cover a total of 1 mile in 6 min (6 min = .1 hrs)
write a distance equation, dist = speed * time
.1a + .1b = 1
multiply by 10
a + b = 10
:
Walking the same way. 1 hr to be at the same point on the track but
a has walked exactly 1 mi further that b
1a - 1b = 1
:
a + b = 10
a - b = 1
-------------addition eliminates b, find a
2a = 11
a = 5.5 mph
then
5.5 + b = 10
b = 10 - 5.5
b = 4.5 mph
:

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