SOLUTION: Marukh can wash the car in 10 minutes. Steven can wash the car in 60 minutes. If Marukh and Steven work together, how long will it take them to wash the car? Round your answer to t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Marukh can wash the car in 10 minutes. Steven can wash the car in 60 minutes. If Marukh and Steven work together, how long will it take them to wash the car? Round your answer to t      Log On


   



Question 893408: Marukh can wash the car in 10 minutes. Steven can wash the car in 60 minutes. If Marukh and Steven work together, how long will it take them to wash the car? Round your answer to the nearest minute.
Options:
25 minutes
9 minutes
70 minutes
Or
35 minutes

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Marukh can wash the car in 10 minutes. Steven can wash the car in 60 minutes.
If Marukh and Steven work together, how long will it take them to wash the car?
;
let t = time in minutes for them both to wash the car
let the completed job = 1; (a clean car)
:
Each will do a fraction of the job, the two fractions add up to 1
t%2F10 + t%2F60 = 1
multiply thru by 60, cancel the denominators and you have:
6t + t = 60
7t = 60
t = 60/7
t = 8.57 minutes working together
:
:
Check this with your calc:
8.57%2F10 + 8.57%2F60 =