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A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l liters

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A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l liters

by BTGmoderatorDC » Sat Nov 21, 2020 8:46 pm

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A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l liters of molasses when full. If the machine draws m liters of molasses from the supply take in s seconds and no additional molasses is added to the tank, how many minutes will it take the machine to empty a full supply tank?

A. l−60m/s

B. 60ls/m

C. 60lm/s

D. m/(60ls)

E. ls/(60m)


OA E

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Re: A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l lite

by swerve » Mon Nov 23, 2020 12:49 pm
BTGmoderatorDC wrote: ↑
Sat Nov 21, 2020 8:46 pm
 A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l liters of molasses when full. If the machine draws m liters of molasses from the supply take in s seconds and no additional molasses is added to the tank, how many minutes will it take the machine to empty a full supply tank?

A. l−60m/s

B. 60ls/m

C. 60lm/s

D. m/(60ls)

E. ls/(60m)


OA E

Source: Veritas Prep
\(s\) Seconds to empty \(m\) litres
\(1\) second to empty \(m/s\) litres
\(1\) minute to empty \(60\,m/s\) litres
\(60\, m/s\) litres get emptied in \(1\) min
\(1\) litre gets empties in \(s/60m\) mins
\(l\) litres get empties in \(sl/60m\) mins

Therefore, E
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Re: A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l lite

by Scott@TargetTestPrep » Mon Nov 30, 2020 10:44 am
BTGmoderatorDC wrote: ↑
Sat Nov 21, 2020 8:46 pm
 A certain machine fills jars of molasses by drawing molasses at a constant rate from a supply tank that holds l liters of molasses when full. If the machine draws m liters of molasses from the supply take in s seconds and no additional molasses is added to the tank, how many minutes will it take the machine to empty a full supply tank?

A. l−60m/s

B. 60ls/m

C. 60lm/s

D. m/(60ls)

E. ls/(60m)


OA E

Solution:

The rate of the machine drawing molasses from the tank is m/s liters per second or 60 * (m/s) = (60m)/s liters per minute. Since the supply tank can hold l liters of molasses when it’s full, it will take the machine l/(60m/s) = l * (s/60m) = ls/(60m) minutes.

Answer: E

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