SOLUTION: Jim and John drive from point A to point B in separate cars. Jim leaves at 6 am and arrives at 4 pm. John leaves at 10 am and arrives at 3 pm. Assume both men drive at constant spe

Question 359546: Jim and John drive from point A to point B in separate cars. Jim leaves at 6 am and arrives at 4 pm. John leaves at 10 am and arrives at 3 pm. Assume both men drive at constant speeds. Find when John catches up with Jim
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jim and John drive from point A to point B in separate cars.
Jim leaves at 6 am and arrives at 4 pm. John leaves at 10 am and arrives at 3 pm.
Assume both men drive at constant speeds.
Find when John catches up with Jim.
:
Let d = distance from A to B
Jim's travel time: 10 hrs (6am to 4pm)
Jon's travel time: 5 hrs (10am to 4pm
:
Let t = Jon's travel time when he catches Jim
Then
(t+4) = Jim's travel time when this happens (Jim leave 4 hrs earlier)
and we know
= Jim's speed
and
= Jon's speed
:
When Jon catches Jim, they will have traveled the same distance; Dist = speed * time.
(t+4) = *t
multiply both sides by 10 to get rid of the denominators, results
d(t+4) = 2dt
divide both sides by d
t + 4 = 2t
4 = 2t - t
t = 4 hrs, Jon's travel time
then
4 + 4 = 8 hrs; Jim's travel time
:
10 am + 4 hrs = 2 pm when Jon overtakes Jim
:

RELATED QUESTIONS
Jim and John drive from point A to point B in separate cars. Jim leaves at 6 am and... (answered by ikleyn)

Jim and John drive from point A to point B separate cars. Jim leaves at 6 am and arrives (answered by Alan3354)

A man leaves point A at 8 am and arrives in point B at 8pm. The next day he leaves point... (answered by richwmiller)

Jim and Juan are going to drive their motorcycles from Gastonia to Charleston. Jim leaves (answered by checkley77)

my flight leaves SLC,Ut at 6:15 am (MST),arrives in Chicago at 10:24 am (CST), leaves... (answered by Theo,Alan3354)

Car A leaves at 12 pm driving 50 mph and arrives at the destination at 3 pm. Car B leaves (answered by Boreal)

The Smith family and the Jones family are next-door neighbors and are driving to Las... (answered by rwm,ankor@dixie-net.com,stanbon)

Two cars start from the same point, at 9:45 am, traveling in opposite directions at 45... (answered by Alan3354)

Bob leaves Pittsburgh traveling west. Jim leaves from the same point two hours later and... (answered by ikleyn,ankor@dixie-net.com)