Question

In the morning and evening, a farmer packs $2$ pints of berries every $3$ minutes and $3$ pints of berries every $4$ minutes, respectively. What is the deviation between the evening and morning hourly packaging rates?

• A. $5$ pints/hr
• B. $\frac{1}{12}$ pints/hr
• C. $12$ pints/hr
• D. $\frac{1}{5}$ 5 pints/hr

Answer 1

The correct option is B $\frac{1}{12}$ pints/hr

Morning packing rate $=\frac{\text{Pints packed}}{\text{Time taken}}=\frac{2}{3}\text{pints per minute}$
Evening packing rate $=\frac{\text{Pints packed}}{\text{Time taken}}=\frac{3}{4}\text{pints per minute}$
The difference (deviation) in between evening and morning packing rates
$=\text{Evening rate}-\text{Morning rate}$
$=\frac{3}{4}-\frac{2}{3}$
$=\frac{1}{12}\text{pints/min}$
$60\text{minutes}=1hr$
$1\text{minute}=\frac{1}{60}hr$
$\frac{1}{12}\text{pints/min}=\frac{1}{12}÷\frac{1}{60}\text{pints/hr}=\frac{1}{12}\times 60\text{pints/hr}=5\text{pints/hr}$
Thus, the deviation between the evening and morning hourly packaging rate is $5\text{pints per hour}$