SOLUTION: Car A and car B both travel 560 miles. Car A drove at an average speed of 10 miles per hour faster than car B and made the trip in one hour less time. Find the average speeds of bo
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Question 254059: Car A and car B both travel 560 miles. Car A drove at an average speed of 10 miles per hour faster than car B and made the trip in one hour less time. Find the average speeds of both cars. Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! st=d
Let:
s=B's speed
t=A's time
.
A) t(s+10)=560
B) s(t+1)=560
.
ts+10t=ts+s
10t=s
.
A)
t(10t+10)=560
10t^2+10t-560=0
t^2+t-56=0 Divide each side by 10
(t+8)(t-7)=0
t=7 hrs for A
.
B)
s(7+1)=560
s=70 mph for B
s+10=80 mph for A
.
Ed
