Harry is a salesman. Is the time taken by Harry to sell a box of

Question

Harry is a salesman. Is the time taken by Harry to sell a box of products more than 10 hours?

(1) Each box is filled with more than 20 products.
(2) Harry can sell at a constant rate that is less than 30 mins per product.

gmatophobia · Answer

The statements individually are not sufficient, hence, we can eliminate A, B, and D.

Combined, we don't know the number of boxes that Harry has to sell.

Hence,   Option E

Kinshook · Answer

Pranjall8 
Harry is a salesman.
Is the time taken by Harry to sell a box of products more than 10 hours?

(1) Each box is filled with more than 20 products.
There is no time mentioned in the statement 
NOT SUFFICIENT

(2) Harry can sell at a constant rate that is less than 30 mins per product.
Number of products are not mentioned in the statement
NOT SUFFICIENT

(1) + (2) (1) Each box is filled with more than 20 products.
(2) Harry can sell at a constant rate that is less than 30 mins per product.
The time taken by Harry to sell a box of products = (20+x)*(30-y)/60 = (10 + .5x - y/3 - xy/60) where x & y are positive numbers.
Case 1: x=10; y=0; The time taken by Harry to sell a box of products = 30*.5 = 15 hours > 10 hours
Case 2: x=0; y=10; The time taken by Harry to sell a box of products = 20*1/3 = 6 2/3hours < 10 hours
NOT SUFFICIENT

IMO E

nikaro · Answer

answer should be E as we don't know the number of boxes

finisher009 · Answer

The Core Question Is the total time to sell a box of products more than 10 hours?
• First, let’s simplify. 10 hours is 600 minutes.
• Let N be the number of products and R be the rate (time per product).
• The question is: Is N * R > 600?

1. Analyze Statement (1)
• Statement: Each box has more than 20 products (N > 20).
• Test with Smart Numbers:
• We have no idea about the rate (R).
• Statement (1) is Insufficient.

2. Analyze Statement (2)
• Statement: Harry’s rate is less than 30 minutes per product (R < 30).
• Test with Smart Numbers:
• We have no idea about the number of products (N).
• Statement (2) is Insufficient.

3. Combine Statements (1) and (2)
• Combined Info: N > 20 and R < 30.
• The “Boundary” Trap: Notice that 20 * 30 = 600. This is a classic GMAT trap! It makes you think the answer is C. But the values are strictly more than 20 and less than 30.
• Test the Boundaries:
• Can we get a “No”? (Time < 600): Let’s pick numbers to keep the total time low. Since N must be an integer, let N = 21. Let’s pick a rate far below 30, say R = 20 mins/product. Total time = 21 * 20 = 420 minutes. Is 420 > 600? No.
• Can we get a “Yes”? (Time > 600): Let’s pick numbers to push the time up. Let N = 21. Pick a rate close to 30, say R = 29 mins/product. Total time = 21 * 29 = 609 minutes. Is 609 > 600? Yes.
• Conclusion: Even together, the statements don’t give a definite answer. We can get both a “Yes” and a “No.”

The final answer is E.

arushi118 · Answer

The question states: " A  box of products" -- So should that not mean that it is asked that how much time will it take to sell one box of products - and this can be found using both the statements?

Gmat860sanskar · Answer

Hello Arushi, even if we consider a box of products, each box contains more than 20 products so we have multiple scenarios here

1st : - 21 products * Harry sells per product in 10 minutes= 210 minutes ( Which is less than 10 hours)

2nd : - 21 products * Harry sells per product 29 minutes= 609 minutes ( Which is more than 10 hours)

So we don't have any definitive answer.

that's why answer here is E.

Harry is a salesman. Is the time taken by Harry to sell a box of

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