SOLUTION: On Monday, Roger drove to work in 55 minutes. On Tuesday, he averaged 8 miles per hour more, and it took him 8 minutes less to get to work. How far (in miles) does he travel to wo
Algebra.Com
Question 148222: On Monday, Roger drove to work in 55 minutes. On Tuesday, he averaged 8 miles per hour more, and it took him 8 minutes less to get to work. How far (in miles) does he travel to work?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
On Monday, Roger drove to work in 55 minutes. On Tuesday, he averaged 8 miles per hour more, and it took him 8 minutes less to get to work. How far (in miles) does he travel to work?
:
Change 55 min to hrs, hrs, time on Monday
Change 8 min to hrs,
- = hrs, time on Tuesday
:
First, find the speed:
s = speed on Monday
then
(s+8) = speed on Tuesday
:
The distance of the two trips is equal;
write a distance equation: Dist = time * speed.
:
s = (s+8)
:
Multiply both sides by 60, get rid of the denominators:
55s = 47(s+8)
55s = 47s + 376
55s - 47s = 376
8s = 376
s =
s = 47 mph, speed on Monday
then
47 + 8 = 55 mph speed on Tuesday
:
Dist using Monday's time & speed
Dist = * 47
Dist = 43.1 mi
:
Check dist using Tues time & speed
Dist = * (47+8)
Dist = * 55
Dist = 43.1 mi
RELATED QUESTIONS
On Monday, Roger drove to work in 42 minutes. On Tuesday, he averaged 5 miles per hour... (answered by Paul,wuwei96815)
On Monday, Roger drove to work in 38 minutes. On Tuesday, he averaged 10 miles per hour (answered by ankor@dixie-net.com)
communiting to work. On Monday, Roger drove to work in 45 minutes. On tuesday he... (answered by ankor@dixie-net.com)
On Monday Roger drove to work in 45 minutes. On Tuesday he averaged 12 miles per hour... (answered by longjonsilver)
On Monday, Roger drove to work in 45 minutes. On Tuesday he averaged 12 miles per hour... (answered by ankor@dixie-net.com)
On Monday, Roger drove to work in 2 hours. On Tuesday, he averaged 15 miles per hour... (answered by jsmallt9)
On Monday, Roger drove to work in 2 hours. On Tuesday, he averaged 15 miles per hour... (answered by josmiceli)
On Monday, Roger drove to work in 2 hours. On Tuesday, he averaged 15 miles per hour... (answered by solver91311)
On Monday, Bill drove to work in 50 minutes. On Tuesday, he averaged 12 miles per hour... (answered by stanbon)