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 ->  Rate-of-work-word-problems -> 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      Log On


   

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) About Me  (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) About Me  (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%2FT+=+144%2F%28T+-+2%29

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

240T – 480 = 144T

240T – 144T = 480

96T = 480

T, or time driven on 1st day = 480%2F96, or highlight_green%285%29 hours 

Time driven on 2nd day: 5 – 2, or highlight_green%283%29 hours