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Sajjad1994
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A juice bottling plant has purchased a new electric bottling machine. 10 Dec 2019, 11:29
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Hours to Spend $20: 20C/R Dollars Spent in 3 Minutes: R/20C
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67% (03:03) correct 33% (03:14) wrong based on 571 sessions

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A juice bottling plant has purchased a new electric bottling machine. Working at a constant rate, the machine bottles R liters of juice per hour. As the machine works, it bottles C liters of juice per dollar spent on its operating and maintenance costs.

In terms of R and C, determine how many hours it will take to spend $20 on the machine's operating and maintenance costs. Then determine how many dollars will be spent in 3 minutes. Make one choice in each column.­
Hours to Spend $20 Dollars Spent in 3 Minutes Values
20/RC
20R/C
20C/R
R/20C
RC/20
C/20R
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Hours to Spend $20: 20C/R Dollars Spent in 3 Minutes: R/20C
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A juice bottling plant has purchased a new electric bottling machine. 10 Dec 2019, 12:27
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Rate * time = Work

1. Rate = "R" , Time = ? , work = 20*C
Time = 20C/R

2. Time = 3 min but rate R is in hours , therefore converting mins to hours = 3/60 = 1/20
Rate = "R" , Time = 1/20 , work = amount*C
Amount = R/20C
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A juice bottling plant has purchased a new electric bottling machine. 10 Dec 2019, 12:33
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A)1$-> C litre
20$ -> 20C litre
R litre -> 1 hour
20C-> 20C/R

B) 60minutes =R litre
3 minutes= R/20
1$->C litre
R/20C $ spent

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A juice bottling plant has purchased a new electric bottling machine. 21 Apr 2025, 04:34
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Definitions:
  • R = liters per hour bottled
  • C = liters per dollar spent
    → So, C liters = $1
    → Or 1 liter = $1/C

Part 1: How many hours it will take to spend $20
We are given:
  • Machine bottles R liters/hour
  • It costs $1 for every C liters, so:
    • Cost per hour = (R liters/hour) × (1 dollar / C liters) = R/C dollars per hour
To find time (in hours) to spend $20, we use:
\(\text{Time} = \frac{\text{Total Cost}}{\text{Cost per Hour}} = \frac{20}{R/C} = \frac{20C}{R}\)
✔️ Correct value for hours to spend $20: 20C/R

Part 2: How many dollars will be spent in 3 minutes
3 minutes = 3/60 = 1/20 hours
We already found that Cost per hour = R/C dollars
Cost in 1/20 hour=\(\text{Cost in 1/20 hour} = \left(\frac{R}{C}\right) \times \left(\frac{1}{20}\right) = \frac{R}{20C}\)
✔️ Correct value for dollars spent in 3 minutes: R/20C

Final Answers:
  • Hours to Spend $20: 20C/R
  • Dollars Spent in 3 Minutes: R/20C
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