SOLUTION: Variation Problem The time required to process a shipment of goods at Alco varies directly with the number of items in the shipment and inversely with the number of workers assi

Question 180319: Variation Problem
The time required to process a shipment of goods at Alco varies directly with the number of items in the shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The time required to process a shipment of goods at Alco varies directly with the number of items in the shipment and inversely with the number of workers assigned.
---
t = k[n/w]
----------------
If 15,000 items can be processed by 8 workers in 10 hours
---
solve for "k"
10 = k[15000/8]
k = 80/15000
k = 0.0053333
-----
Equation:
t = 0.005333..[n/w]
---
then how long would it take 12 workers to process 20,000 items?
t = 0.005333[20,000/12]
t = 8.8888...hrs.
=========================
Cheers,
Stan H.

RELATED QUESTIONS
Write an equation expressing the variation described below; then use it to solve the... (answered by richwmiller)

If you drive at a constant speed then the distance you travel d varies directly with the... (answered by checkley77)

i am doing Variation 1. B varies jointly with m and n 2. A farmers harvest in... (answered by Cromlix)

Express each statement as an equation where k represents the constant of variation. 1.... (answered by Cromlix)

i have problems with Direct Variation, im suppose to write an equation. Here is an... (answered by stanbon)

Write a general formula to describe the variation if v varies directly with t and v = 1.6 (answered by checkley77)

Using k as the constant of variation, write the equation of variation for each following. (answered by mananth)

Can you please help me on how to do this question, I dont understand it. Matt bikes 50km (answered by stanbon)

the time t required to empty a water tank varies inversely as the rate of pumping p. a... (answered by josmiceli)