Answer:
Use a d=rt table, find x, and plug it in for the part you need. 74 & 84
Step-by-step explanation:
Create a chart for the 2 buses that shows the distance, rate, & time. Calculate the distance by multiplying the rate and time.
x is the rate of speed of the faster bus
Bus 1: D (6x) = r (x) × t (6 hrs)
Bus 2: D (6x-60) = r (x-10) × t (6 hrs)
We also know the total distance traveled was 948 miles. So 6x-60+6x=948.
Then we combine like terms.
12x-60=948
Now isolate the x term by adding 60 to both sides.
12x=1008
Divide both sides by 12 to isolate the x.
x=84
Finally, plug the x back in to the rates to determine the rate of the buses.
Bus 1 - 84 mph
Bus 2 - 74 mph
