Question

Two buses leave a station at the same time and travel in opposite directions. One bus travels 18 mi/h faster than the other. If the two buses are 994 miles apart after 7 hours, what is the rate of each bus

Answer 1

Answer:

The distance each bus travels is given as d=tr where

- d is distance bus travels

- t is a time bus travels

- r is the 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).

:

The total distance between them is 480 miles and since they go in opposite directions this distance is the 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 the speed of the second bus

Hope this helps you!!!! :D