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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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

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

Source: Veritas Prep

Source: Beat The GMAT — Problem Solving | Sat Nov 21, 2020 8:46 pm

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

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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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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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