SOLUTION: Mary can walk 4 mph and Judy can bike 10 mph. If they start at the same point and travel in the same direction, how long will it take Mary to be 8 miles behind Judy?

Question 1115132: Mary can walk 4 mph and Judy can bike 10 mph. If they start at the same point and travel in the same direction, how long will it take Mary to be 8 miles behind Judy?

Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Separation rate is 6 mph.

Solve.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mary can walk 4 mph and Judy can bike 10 mph. If they start at the same point and travel in the same direction, how long will it take Mary to be 8 miles behind Judy?
------------
Mary DATA:
rate = 4 mph ; dist = x miles ; time = x/4 hrs
Judy DATA:
rate = 10 mph ; dist = x+8 miles ; time = (x+8)/10 hrs
-------
Equation:
time = time
x/4 = (x+8)/10
10x = 4x + 32
6x = 32
x = 16/3 miles
----
Ans: time = x/4 = (16/3)/4 = 4/3 hr = 1 hr 20 min
------------
Cheers,
stan H.
------------------
----------------------
RELATED QUESTIONS
Kyle and Steve start at the same point and walk in opposite directions. If Kyle walks at... (answered by addingup)
Mary and Janet are running in the Apple Hill Run. Mary runs at 7mph, Janet at 5 mph. If... (answered by stanbon)
Mary and Janet are running in the Apple hill fun run. Mary runs at 7 mph, Janet at 5mph.... (answered by josmiceli)
Two trains start at the same point going in the same direction on parallel tracks. One... (answered by lwsshak3)
Linda and Mary start at the same point and walk in opposite directions. Linda walks at 5... (answered by ikleyn)
Linda and Mary start at the same point and walk in opposite directions. Linda walks at 5... (answered by ikleyn)
question 1) how many pounds of nuts selling at 6.00 lb. and raisins at 3.00 lb. should be (answered by oberobic)
Mary walks at 4 mph. sarah jogos 10 mph. if they both leave the school at 8 am going... (answered by josmiceli)
Judy can bike at 12 mph when there is no wind. Against the wind Judy bikes 8 mph in the... (answered by Alan3354)