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?
+37146 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
