SOLUTION: a car leaves at 7am on a long trip travelling at 44 kph a second car leaves at 11am traveling 108 kph what time does the second car catch the first

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Question 1047089: a car leaves at 7am on a long trip travelling at 44 kph a second car leaves at 11am traveling 108 kph what time does the second car catch the first
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
Use time quantities now and adjust to time points later.
11 AM from 7 AM is 3 hour difference.
               SPEED     TIME       DISTANCE

EARLY CAR        44       t+3         d

LATER CAR       108       t           d

Travel Rates Rule for constant travel rate, RT=D, relating rate, time, and distance.

44%28t%2B3%29=d=108%2At

Answer by MathTherapy(10559) About Me  (Show Source):
You can put this solution on YOUR website!

a car leaves at 7am on a long trip travelling at 44 kph a second car leaves at 11am traveling 108 kph what time does the second car catch the first
Let time 2nd (faster) car takes to get to meetup point, be T 
Then time 1st (slower) car takes to get to meetup point = T + 4
We then get the following DISTANCE equation: 108T = 44(T + 4)
108T = 44T + 176
108T - 44T = 176
64T = 176
T, or time 2nd (faster) car takes to get to meetup point = 176%2F64 = highlight_green%28matrix%281%2C5%2C+2%263%2F4%2C+hours%2C+or%2C+2.75%2C+hours%29%29