Question

A computer can process the payroll for Hometel in 10 hours. An older back up computer needs 11 hours to
process payroll. How long would the job take if the two computers are both used to do the job?
a) Let h=the time to complete the job. Write the equation you would use to solve this problem,

Answer 1

Both computers will do the job in 5 hours and 14 minutes.

Since a computer can process the payroll for Hometel in 10 hours, while an older back up computer needs 11 hours to process payroll, to determine how long would the job take if the two computers are both used to do the job, the following calculation should be performed:

• X / 10 + X / 11 = 1
• 10X + 11X = 110
• 21X = 110
• X = 110/21
• X = 5.238  
• 100 = 60
• 0.238 = X
• 0.238 x 60/100 = X
• 0.14 = X

Therefore, both computers will do the job in 5 hours and 14 minutes.

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