SOLUTION: Two runners live 33 miles apart. Jim runs 8 miles per hour, and Joan runs 6 miles per hour. If Joan starts running toward Jim’s house and Jim starts running toward Joan’s house 2 h
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Question 903537: Two runners live 33 miles apart. Jim runs 8 miles per hour, and Joan runs 6 miles per hour. If Joan starts running toward Jim’s house and Jim starts running toward Joan’s house 2 hours later, how long will Jim have been running when they meet? Found 2 solutions by josmiceli, lwsshak3:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Find Joan's head start
Let = Joan's head start
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Start a stop watch when Jim starts running
Let = distance Jim travels until they meet
Let = time in hrs until they meet
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Jim's equation:
(1)
Joan's equation:
(2)
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Substitute (1) into (2)
(2)
(2)
(2)
Jim runs for 1 hr and 30 min until they meet
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check:
(1)
(1)
and
(2)
(2)
(2)
OK
You can put this solution on YOUR website! Two runners live 33 miles apart. Jim runs 8 miles per hour, and Joan runs 6 miles per hour. If Joan starts running toward Jim’s house and Jim starts running toward Joan’s house 2 hours later, how long will Jim have been running when they meet?
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let x=Jim's travel time
x+2=Joan's travel time
distance=speed*travel time
..
6(x+2)+8x=33
6x+12+8x=33
14x=21
x=21/14=3.5
how long will Jim have been running when they meet? 3.5 hrs
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