SOLUTION: Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 mph faster than the other. If the two buses are 480 miles apart after 4 hours, what
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 mph faster than the other. If the two buses are 480 miles apart after 4 hours, what
Log On
Question 453506: Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 mph faster than the other. If the two buses are 480 miles apart after 4 hours, what is the rate of each bus? Answer by pedjajov(51) (Show Source):
You can put this solution on YOUR website! If first bus travels with speed r then second bus travels with speed r+12.
:
Distance each bus travels is given as d=tr where
- d is distance bus travels
- t is a time bus travels
- r is a speed of the bus
:
Distance first bus travels for 4 hours is d1=4r.
Distance other bus travels for 4 hours is d2=4(r+12).
:
Total distance between them is 480 miles and since they go in opposite directions this distance is sum of distances each bus travels.
:
d1+d2=480
4r+4(r+12)=480
4r+4r+48=480
8r+48=480
8r=432
r=432/8
r=54 mph, this is a speed of the first bus
:
r+12=66 mph, this is a speed of the second bus
(