Mathematics: Phil can paint the garage in 12 hours and rick can o it in 10 hours. if they work together for 3 hours and then phil leaves, how long will it take rick to finish the job?

10Step-by-step explanation:39.8/4=9.95, rounds to 10...

Phil can paint the garage in 12 hours and rick can

doritasanchez

11.01.2022

It will take 4.5 hours for rick to complete the job.

Step-by-step explanation:

Given:

Time taken by Phil to paint the garage = 12 hours.

It means that for each hour he does = $\frac{1}{12}$ of the job.

Time taken by Rick to paint the garage = 10 hours.

It means that for each hour he does = $\frac{1}{10}$ of the job

If they work together for 3 hours,

Phil does job in 3 hrs = $3\times\frac{1}{12} = \frac{1}{4}=0.25$

Rick does job in 3 hrs = $3\times\frac{1}{10} = \frac{3}{10}=0.3$

So in three hours of working together job done = 0.3+0.25 = 0.55

This means job of the painting entire garage have been done 0.55 of it.

1 - 0.55 = 0.45.

So there is 0.45 job left

At this point Phil quits and Rick presses on by himself. Since he does 1/10 of the garage every hour

Let T represents the time that Rick needs to complete the job after Phil leaves.

Hence, $\frac{1}{10}\times T= 0.45\\\\T = 0.45 \times 10\\T =4.5 hrs$

Hence it will take rick 4.5 hours to complete the remaining job.

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