SOLUTION: the departure times for two buses are shown below. (Bus a: departs at 9:00 A.M) and Bus b departs at 9:15 A.M.) Bus A travels at a rate of 20 miles per hour, and bus B travels at a

Question 547829: the departure times for two buses are shown below. (Bus a: departs at 9:00 A.M) and Bus b departs at 9:15 A.M.) Bus A travels at a rate of 20 miles per hour, and bus B travels at a rate of 24 miles per hour. At what time will theb uses hve traveled the same distance?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This is just another way of saying
" At what time will the busses meet? "
The key is:
" How much of a head start over B does A have?
In 15 min, bus A goes
mi
mi
----------------
Start a stopwatch when bus B leaves
and call the time when they meet
Let = distance B will now travel
equation for bus A:
(1)
equation for bus B:
(2)
substitute (2) into (1)
(1)
(1)
(1) hrs
They will have traveled the same distance
in 1 hr and 15 min, which will be
9:15 + 1.25 = 10:30
check answer:
(2)
(2)
and
(1)
(1)
(1)
OK
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