SOLUTION: A bus entered the Interstate and traveled at a constant speed of 42 mph. Two hours later a second bus followed the first bus, entering the Interstate from the same point as the fir

Question 476024: A bus entered the Interstate and traveled at a constant speed of 42 mph. Two hours later a second bus followed the first bus, entering the Interstate from the same point as the first bus, and traveled at a constant speed of 66 mph. How long will it take the second bus to catch up with the first bus?
Found 2 solutions by jorel1380, josmiceli:
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
42x2=84
42p+84=66p
24p=84
p=84/24=3.5 hours before the second bus catches up..
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How many miles head start does the 1st bus have?

mi
Start a stopwatch when the 2nd bus enters interstate.
Both will now travel for the same amount of time
until bus 2 catches bus 1. Call this time .
---------------------
Let = distance bus 2 has to go to catch bus 1
For bus 2:
(2)
For bus 1:
(1)
----------------
Substitute in (2) for in (1)
(1)
(1)
(1)
It takes the 2nd bus 3.5 hrs to catch 1st bus
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
OK
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