Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at

[BTGmoderatorDC]

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


OA B

Source: EMPOWERgmat

[swerve]

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


OA B

Source: EMPOWERgmat

Machine A:

\(1\) min \(= 5000\$ (5\cdot 1000)\)

\(1\) sec \(= \dfrac{5000}{60}\)

Machine B:

\(1\) min \(= 4000\$(20\cdot 200)\)

\(1\) sec \(= \dfrac{4000}{60}\)

Given, difference is \(50\$\) after 'what' seconds, say \(x\) seconds.

\begin{align*}
\dfrac{5000x}{60} - \dfrac{4000x}{60} &= 50 \\
\dfrac{100x}{6}&= 50 \\
x &= \dfrac{300}{100} \\
x &= 3
\end{align*}

Therefore, B