It takes the faster computer 7.5 minutes to do the job on its own, using the time and work concept.
In the question, we are given that working together, it takes two computers 5 minutes to send out a company's email.
We are asked for the time in which the faster computer to do the job on its own, given that the slower computed do the job on its own in 15 minutes.
We assume the slower computer and the faster computer to be A and B respectively.
Time taken by A alone to complete the job = 15 minutes.
Thus, the amount of job done by A in 1 minute = 1/15.
Time taken by A and B together to complete the job = 5 minutes.
Thus, the amount of job done by A and B in 1 minute = 1/5.
Thus, the amount of job done by B alone in 1 minute = 1/5 - 1/15 = 2/15.
Thus, the time taken by B alone to complete the job = 1/(2/15) minutes = 15/2 minutes = 7.5 minutes.
Thus, it takes the faster computer 7.5 minutes to do the job on its own, using the time and work concept.
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