SOLUTION: At 1pm Tom leaves home on his bike heading to Sue's house at 9mph. An hour later, Sue leaves her house biking to Tom's at 6mph. Their houses are 39 miles apart. At what time will t

Question 54163: At 1pm Tom leaves home on his bike heading to Sue's house at 9mph. An hour later, Sue leaves her house biking to Tom's at 6mph. Their houses are 39 miles apart. At what time will the meet?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At 1pm Tom leaves home on his bike heading to Sue's house at 9mph. An hour later, Sue leaves her house biking to Tom's at 6mph. Their houses are 39 miles apart. At what time will the meet?
-----------
Tom DATA:
distance = x miles ; rate= 9 mph ; time= d/r=x/9 hrs.
Sue DATA:
distance = 39-x ; rate= 6 mph ; time = d/r = (39-x)/6
EQUATION:
Tom's time - Sue's time = 1 hr.
x/9 - (39-x)/6 = 1
6x -9(39-x) = 54
6x+9x-351 = 54
15x=405
x= 27 (Tom's distance is 27 miles)
At 9 mph this will take him 3 hours.
They will meet at 4 PM.
Cheers,
Stan H.
RELATED QUESTIONS
At 9am Rob leaves his house traveling 60mph, Sue leaves the same house 15minutes later... (answered by Alan3354)

She drives 10 miles from her friend to the motorway 240 miles on the motorway 5 miles to... (answered by ankor@dixie-net.com)

I have no idea how to go about this problem, could you please help me with the set up and (answered by ankor@dixie-net.com)

George leaves the house on his bike, traveling at 18mph. one hour later his wife June... (answered by jjordan95)

Jessie leaves home at 7:30 am and rides his bike to school at a speed of 9mph. If his... (answered by sofiyac)

Paul leaves his house on a bike riding at 15 mph, one hour later, Ray leaves in his car... (answered by Paul)

I don't know how to set this up: Bill leaves his house for Maya's house riding his... (answered by edjones)

Keith leaves his house for Sarah�s house riding his bicycle at 8 miles per hour. At the (answered by mananth)