Question

One computer processes a company's payroll in 20 minutes. while another computer takes 32 minutes. How long would it take in minutes to process payroll if both computers were used?

Answer 1

Time taken would be = 12 minutes to print the payroll if both computers are used

Explanation:

Computer A Takes = 20 minutes

Computer B Takes = 30 minutes

To Find:

Time to print if both were used = ?

Solution :

Now We will first calculate How much work is done by each computer in one minute

Computer A will do = 1/20 Work one minute

Computer B will do = 1/30 work in one minute

Now if both computers are used then

work done by both of them in one minute would be sum of both the computers f the work together

So

it would be

Work done =
`(1)/(20) +(1)/(30)`

Taking LCM and solving

Work done =
`(3+2)/(60)`

=
`(5)/(60)`

=
`(1)/(12)`

Now to do the whole task Time taken would be reciprocal of Work done in one minute

So

Time taken would be = 12 minutes