SOLUTION: Two joggers are 2 km apart. If they jog toward each other they will meet in 12 minutes. If they jog in the same direction the faster one will overtake the slower one in 2 hours.

Question 668301: Two joggers are 2 km apart. If they jog toward each other they will meet in 12 minutes. If they jog in the same direction the faster one will overtake the slower one in 2 hours. At what speed do the joggers jog?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Jogger A = x km/h
Jogger B = ykm/h
jogging towards
speed = (x+y)
D=2
..................... 12 mins = 1/5 hour
2/(x+y) =1/5
x+y =10.....................(1)
in same direction
speed = x-y
time = 2 hours
distance = 2
2/(x-y)=2
x-y =1...................(2)
add (1) & (2)
2x=11
x= 5.5 Jogger A speed
x+y=10
5.5+y=10
y=11-4.5
y=4.5 km/h Jogger B speed

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