SOLUTION: a passenger jeep traveling at 30 kph leaves a town two hours later a car leaves the same town and travel in same at 80 kph how long will it take the car to overtake the jeep

Click here to see ALL problems on Equations

Question 1172908: a passenger jeep traveling at 30 kph leaves a town two hours later a car leaves the same town and travel in same at 80 kph how long will it take the car to overtake the jeep

Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
a passenger jeep traveling at 30 kph leaves a town
two hours later a car leaves the same town and travel in same at 80 kph
how long will it take the car to overtake the jeep;
;
let t = travel time of the car
the jeep started 2 hrs earlier, therefore
(t+2) = travel time of the jeep
:
When the car overtakes the jeep, they will have traveled the same dist
Write a dist equation; dist = speed * time
Car dist = jeep dist
80t = 30(t+2)
80t = 30t + 60
80t - 30t = 60
50t = 60
t = 60/50
t = 1.2 hrs for the car to overtake the gym
:
:
Check this, find the dist each traveled
80(1.2) = 96 mi, car
30(3.2) = 96 mi, jeep

Answer by greenestamps(13206) (Show Source):
You can put this solution on YOUR website!

In the 2 hours the jeep travels before the car starts, it travels 2*30 = 60 km.

The difference in the speeds of the two vehicles is the rate at which the car overtakes the jeep, once the car starts. That difference is 50 km/h.

The time required for the car to overtake the jeep is the distance, divided by the difference in the speeds:

60/50 = 1.2

ANSWER: 1.2 hours