SOLUTION: Billy and Joe are separated by 6.6 miles when they begin to walk in the same direction. It takes Billy 11 hours to overtake Joe. If they had begun to walk towards each other rather
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Question 376091: Billy and Joe are separated by 6.6 miles when they begin to walk in the same direction. It takes Billy 11 hours to overtake Joe. If they had begun to walk towards each other rather than in the same direction, they would meet up in 1 hour. What are Billy and Joe's speeds?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Billy and Joe are separated by 6.6 miles when they begin to walk in the
same direction, it takes Billy 11 hours to overtake Joe.
If they had begun to walk towards each other rather than in the same
direction, they would meet up in 1 hour.
What are Billy and Joe's speeds?
:
Let b = Bill's speed
Let j = Joe's speed
:
Write a distance equation for each scenario, Dist = time * speed
:
11(b - j) = 6.6
and
1(b + j) = 6.6
:
Divide the 1st equation by 11, add to the 2nd equation
b - j = .6
b + j = 6.6
---------------adding eliminates j, find b
2b = 7.2
b =
b = 3.6 mph is Bill's speed
then using the 2nd equation find j
3.6 + j = 6.6
j = 6.6 - 3.6
j = 2 mph is Joe's speed
:
:
Check solution in the 1st equation
11(3.6 - 3) = 6.6
11(.6) = 6.6; confirms our solutions
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