SOLUTION: 2. grace starts jogging home at 5 km/hr. will leaves 10 minutes later on a bike (from the same place) riding at 15 km/hr. how long will it take will to catch up to grace?

Question 183276: 2. grace starts jogging home at 5 km/hr. will leaves 10 minutes later on a bike (from the same place) riding at 15 km/hr. how long will it take will to catch up to grace?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
grace starts jogging home at 5 km/hr. will leaves 10 minutes later on a bike (from the same place) riding at 15 km/hr. how long will it take will to catch up to grace?
-----------------------
In 10 minutes, Grace is 5/6 km away.
Will is traveling 10 km/hr wrt (with respect to) Grace.
They will converge in (5/6)/10 hours = 5/60 hours
= 5 minutes.
------------------
PS stanbon got it right until he said 1/12 hour is 6 minutes.
1/12 hour = 5 minutes.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Grace starts jogging home at 5 km/hr. Will leaves 10 minutes later on a bike (from the same place) riding at 15 km/hr. How long will it take Will to catch up to Grace?
--------------------------
Grace DATA:
rate = 5 km/h ; time = x hrs ; distance = rt = 5x km
--------------------------
Will DATA:
rate = 15 km/h ; time = (x-(1/6)) hrs ; distance = rt = 15(x-(1/6)) km
------------------------------
Equation:
distance = distance
5x = 15(x - (1/6))
5x = 15x - (5/2)
10x = (5/2)
x = 1/4 hr
x - (1/6) = (1/4)-(1/6) = (6-4)/24 = 2/24 = 1/12 hr. or 6 minutes
===============
Cheers,
Stan H.

RELATED QUESTIONS
a train leaves Recto travelling cast at 35 km/hr. an hour later, another train leaves... (answered by Fombitz)
David left Boston on the Coast to Coast Bike Ride, riding at 20 km/hr. Forty-five... (answered by josmiceli)
A car leaves town at 72 km/hr. An hour later, a second car leaves the same town, on the... (answered by ewatrrr)
A train leaves the station and travels north at 85 km/hr and four hours later a second... (answered by lwsshak3)
A man leaves city A by car and travels at a constant speed of 50 km/hr towards city B... (answered by macston)
you leave your house driving at 50km/hr. your friend leaves your house 15 minutes later... (answered by rfer)
A train leaves a station and travels north at 75KM/hr. Three hrs later a second train... (answered by richwmiller)
a train leaves a station and travels 80 km/hr.Two hours later,a second train leaves on a... (answered by checkley79)
a train leaves a station and travels 80 km/hr.Two hours later,a second train leaves on a (answered by mananth)