SOLUTION: Find the time for two people working together to complete half a task if it takes them 7 hours and 8 hours to complete the entire task working individually.

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Question 946901: Find the time for two people working together to complete half a task if it takes them 7 hours and 8 hours to complete the entire task working individually.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the time for two people working together to complete half a task if it takes them 7 hours and 8 hours to complete the entire task working individually.
:
let t = time for two people to complete half the task
Let the completed task = 1, then half the task = .5
:
t%2F7 + t%2F8 = .5
Multiply equation by 56, cancel the denominators
8t + 7t = .5(56)
15t = 28
t = 28/15
t = 1.867 hrs to do half the task