SOLUTION: Gilbert took 2 hours longer to drive 240 files on the first day for a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driv

Algebra.Com
Question 941325: Gilbert took 2 hours longer to drive 240 files on the first day for a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
Same rate, r, both days.


___________________speed__________time___________distance____|____EQUATIONS
First_______________r______________t+2____________240_______|____r(t+2)=240
Second_____________r_______________t_____________144_______|_____rt=144


Two equations and two unknown variables. Go to it!
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
Gilbert took 2 hours longer to drive 240 files on the first day for a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day.


Let time he drove on the 1st day, be T

Then time he drove on 2nd day = T – 2

We then have: 

240(T – 2) = 144T ------- Cross-multiplying 

240T – 480 = 144T

240T – 144T = 480

96T = 480

T, or time driven on 1st day = , or  hours 

Time driven on 2nd day: 5 – 2, or  hours 

RELATED QUESTIONS


This is a word problem im stuck on. Charles took 2 hours longer to drive 240 miles  on... (answered by josmiceli)

Charles took 2 hr longer to drive 240 mi on the first day of a vacation trip than to... (answered by lwsshak3)

Gilbert took 3 hrs longer to drive 120 km on his first day of a trip than to drive 110 km  (answered by josgarithmetic,greenestamps)

Julie took 2 hours longer to drive 600 miles on the first day of a trip than she took to... (answered by josmiceli)

I have problem with word problems and need some help.

Science and medication:
Ariana... (answered by stanbon)

Ariana took 2 hours longer to drive 360 miles on the first day of a trip than she took to  (answered by ptaylor)

Ariana took 2 hours longer to drive 360 miles on the first day of a trip than she took to  (answered by checkley71)

Solve.

Ariana took 2 hours longer to drive 360 miles on the first day of a trip than... (answered by ankor@dixie-net.com)

Ariana took 2 hours longer to drive 360 miles on the first day of a trip than she took to  (answered by 303795)