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Ariel can complete a paint job in 8 hours. James takes 12 hours to do the same job. If they work together, how long will the job take?

a. 10
b. 6
c. 20
d. 4.8​

Respuesta :

Answer:D

Step-by-step explanation:

Time taken by Ariel and James to complete the work is 4.8 hours.

How to find how long will the job take?

According to the problem,

  • Ariel can complete a paint job in 8 hours.

So, in 8 hours Ariel can complete the paint job.

∴ In 1 hour Ariel can complete 1/8 th part of the job.

Again,

  • James takes 12 hours to do the same job.

In 1 hour James can do 1/12 part of the job.

Let  x hours is the time it takes working together.

Now, we can write,

x(1/8 + 1/12) = 1

⇒ x(5/24) = 1

⇒ x = 24/5 = 4.8

∴ Total time required = 4.8 hours

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