Respuesta :
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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