SOLUTION: Monday Roger, goes to work, it takes him 35 minutes. Tuesday he goes to work and he goes 9 mph more than he did Monday and it took him 7 minutes less. how far did he go ?

Question 770404: Monday Roger, goes to work, it takes him 35 minutes. Tuesday he goes to work and he goes 9 mph more than he did Monday and it took him 7 minutes less. how far did he go ?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the distance to work in miles
Let = his speed in mi/hr on Monday
= his speed on Tuesday
------------------------
Equation for Moday:
(1) ( the time is converted to hours )
Equation for Tuesday:
(2)
(2)
--------------------------
(2)
(2)
(2)
and
(1)
(1)
(1)
-------------------
Subtract (1) from (2)
(2)
(1)

The distance to work and back is 42 mi
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
Monday Roger goes to work, it takes him 35 minutes . Tuesday he goes to work and he goes... (answered by josgarithmetic)

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 42 minutes. On Tuesday, he averaged 5 miles per hour... (answered by Paul,wuwei96815)

On Monday, Roger drove to work in 55 minutes. On Tuesday, he averaged 8 miles per hour... (answered by ankor@dixie-net.com)

On Monday, Roger drove to work in 38 minutes. On Tuesday, he averaged 10 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)