SOLUTION: Denny walks 60miles in one minute, and John travels 210 miles in one minute by bike. If Denny has already walked 1800miles, how many minutes will it take for John to catch up with

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Denny walks 60miles in one minute, and John travels 210 miles in one minute by bike. If Denny has already walked 1800miles, how many minutes will it take for John to catch up with       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 514975: Denny walks 60miles in one minute, and John travels 210 miles in one minute by bike. If Denny has already walked 1800miles, how many minutes will it take for John to catch up with Denny by bike assuming Denny continues to walk?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Perhaps you mean meters (m) here, then it makes some sense
:
Denny walks 60 m in one minute, and John travels 210 m in one minute by bike.
If Denny has already walked 1800 m, how many minutes will it take for John to catch up with Denny by bike assuming Denny continues to walk?
:
We know 60 m/min is Denny's walking speed
and
210 m/min is John's pedaling speed
:
Let t = time for J go catch D
:
Write a distance equation; dist = speed * time
:
J's dist = D's dist + 1800 m
210t = 60t + 1800
210t - 60t = 1800
150t = 1800
t = 1800%2F150
t = 12 min for J to catch D
:
:
You can check this, find the distance each has traveled
J: 210*12 = 2520 m
D: 60* 12 = 720 m
--------------------
difference: 1800 m