SOLUTION: As an employee at the local market,Charlotte's duties include stocking shelves, cashier, and training new employees. Yesterday during an 8 hour workday, charlotte trained new emplo
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Question 156808: As an employee at the local market,Charlotte's duties include stocking shelves, cashier, and training new employees. Yesterday during an 8 hour workday, charlotte trained new employees half as long as she was a cashier and stocked shelves three quarters of an hour less than she was cashier. How many hours did Charlotte spend on eash duty?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Yesterday during an 8 hour workday, Charlotte trained new employees half as long as she was a cashier and stocked shelves three quarters of an hour less than she was cashier. How many hours did Charlotte spend on each duty?
:
Let t = time as a cashier:
:
"trained new employees half as long as she was a cashier"
.5t = time training
:
"stocked shelves three quarters of an hour less than she was cashier."
(t-.75) = time stocking selves
;
How many hours did Charlotte spend on each duty?
:
cashier + training + stocking = 8 hrs
t + .5t + (t-.75) = 8
:
2.5t = 8 + .75
t =
t = 3.5 hrs cashiering
:
.5(3.5) = 1.75 hrs training
:
3.5 - .75 = 2.75 hrs stocking
:
:
Check solution: 3.5 + 1.75 + 2.75 = 8; confirms our solution x=3.5
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