Two printing presses begin printing currency at the same

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Thu Oct 18, 2018 3:39 pm

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Source: EMPOWERgmat

Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?

A. 2
B. 3
C. 4
D. 5
E. 6

The OA is B.

Source: Beat The GMAT — Problem Solving | Thu Oct 18, 2018 3:39 pm

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Thu Oct 18, 2018 3:55 pm

BTGmoderatorLU wrote:Source: EMPOWERgmat

Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?

A. 2
B. 3
C. 4
D. 5
E. 6

Since F produces 1000 5-dollar bills each minute, the dollar amount produced by F each minute = 1000*5 = $5000.
Since T produces 200 20-dollar bills each minute, the dollar amount produced by T each minute = 200*20 = $4000.
Thus, every minute F surpasses T by $1000.
Since F surpasses T by $1000 every 60 seconds, we get:
Number of seconds for F to surpass T by $50 = (50 dollars) * (60 seconds)/(1000 dollars) = 3 seconds.

The correct answer is B.

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by Scott@TargetTestPrep » Thu Oct 25, 2018 5:07 pm

BTGmoderatorLU wrote:Source: EMPOWERgmat

Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?

A. 2
B. 3
C. 4
D. 5
E. 6

Press F produces 5 x 1000 = 5000 dollars per minute, and press T produces 20 x 200 = 4000 dollars per minute. Therefore, press F produces 1000 dollars more per minute than press T. Since 1 minute = 60 seconds, we can let t = number of seconds it takes Press F to produce 50 dollars more than Press T and create the equation:

1000/60 = 50/t

1000t = 3000

t = 3

Answer: B

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