SOLUTION: miguel drove his car 80 kilometers per hour (km/h), while rico drove 64km/h for the same number of hours. if miguel finished driving 96km more than rico, how many hours did they tr

Algebra ->  Rate-of-work-word-problems -> SOLUTION: miguel drove his car 80 kilometers per hour (km/h), while rico drove 64km/h for the same number of hours. if miguel finished driving 96km more than rico, how many hours did they tr      Log On


   

Question 1043980: miguel drove his car 80 kilometers per hour (km/h), while rico drove 64km/h for the same number of hours. if miguel finished driving 96km more than rico, how many hours did they travel?
Found 2 solutions by KMST, advanced_Learner:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
THE FIFTH GRADER ANSWER:
Going %22+80+km+%2F+h%22-%22+64+km+%2F+h%22=%22+16+km+%2F+h%22 faster than Rico,
Miguel gains 16km each hour.
In other words, each hour they drive, Miguel drives 16km more than Rico.
By the time the extra distance Miguel has driven gets to 96km ,
the number of hours they have been driving is 96km%2F%2216+km%22=highlight%286%29 .

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
let x be rico distance
then migual travelled x%2B96
now everything in terms of time t
rico time
t=%28x%29%2F%2864%29
miguel time
t=%28x%2B96%29%2F%2880%29
which means
x%2F64=%28x%2B96%29/%2880%29
%2880x%29=%2864x%2B6144%29
16x=6144
x=384++
time for is 384/64 which is 6 hours
for miguel it is (384+96)/(80) which is also 6 hours amazing