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At a print shop, Nora, Ethan, and Maya bind booklets at their respective constant rates. If Maya can bind one booklet in 12 minutes, can Nora, Ethan, and Maya, working simultaneously and independently, bind at least 35 booklets in 1 hour?
(1) Nora can bind one booklet in less than 2 minutes.
(2) Ethan takes more than 25 minutes to bind one booklet.
(1) Nora can bind one booklet in less than 2 minutes.
(2) Ethan takes more than 25 minutes to bind one booklet.
06 Aug 2026, 06:28
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Official Solution:
At a print shop, Nora, Ethan, and Maya bind booklets at their respective constant rates. If Maya can bind one booklet in 12 minutes, can Nora, Ethan, and Maya, working simultaneously and independently, bind at least 35 booklets in 1 hour?
Maya’s rate is \(\frac{60}{12} = 5\) booklets per hour.
The question asks whether Nora’s rate \(+\) Ethan’s rate \(+ 5\) is at least 35 booklets per hour.
(1) Nora can bind one booklet in less than 2 minutes.
So Nora can bind more than:
\(\frac{60}{2} = 30\) booklets per hour
Nora and Maya together can bind more than:
\(30 + 5 = 35\) booklets per hour
So even before considering Ethan, the three together can definitely bind at least 35 booklets in 1 hour.
Sufficient.
(2) Ethan takes more than 25 minutes to bind one booklet.
This tells us only that Ethan’s rate is less than:
\(\frac{60}{25} = 2.4\) booklets per hour
But we know nothing about Nora’s rate.
If Nora is very fast, the answer could be YES.
If Nora is very slow, the answer could be NO.
Not sufficient.
Answer: A
At a print shop, Nora, Ethan, and Maya bind booklets at their respective constant rates. If Maya can bind one booklet in 12 minutes, can Nora, Ethan, and Maya, working simultaneously and independently, bind at least 35 booklets in 1 hour?
Maya’s rate is \(\frac{60}{12} = 5\) booklets per hour.
The question asks whether Nora’s rate \(+\) Ethan’s rate \(+ 5\) is at least 35 booklets per hour.
(1) Nora can bind one booklet in less than 2 minutes.
So Nora can bind more than:
\(\frac{60}{2} = 30\) booklets per hour
Nora and Maya together can bind more than:
\(30 + 5 = 35\) booklets per hour
So even before considering Ethan, the three together can definitely bind at least 35 booklets in 1 hour.
Sufficient.
(2) Ethan takes more than 25 minutes to bind one booklet.
This tells us only that Ethan’s rate is less than:
\(\frac{60}{25} = 2.4\) booklets per hour
But we know nothing about Nora’s rate.
If Nora is very fast, the answer could be YES.
If Nora is very slow, the answer could be NO.
Not sufficient.
Answer: A
