Mr. Ito's assistant takes twice as long to complete a computer task as Mr. Ito. If takes both experts 6 hours to complete the task, how long will it take each of them to do the job alone?

Guest Jul 20, 2020

#1**+2 **

Ito time = i Ito RATE = 1 task / i = 1/i

A = assistant time = 2i A*s't RATE = 1/2i

One task is completed by both working in 6 hours

1 task / (1/i + 1/2i) = 6

1/(1/i + 1/2i) = 6 solve for i

1 / ( 3/(2i) ) = 6

3/(2i) = 1/6

2 i = 18

i = 9 hr A*s't = 18 hr

This whole method reduces to this:

1/i + 1/2i = 1/6

3/2i = 1/6

2i = 18

i = 9

ElectricPavlov Jul 20, 2020