Question: Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?

1. 30
2. 25
3. 20
4. 15
5. 7.5

Correct Answer: A

Solution and Explanation:
Approach Solution 1:

Machine B produces 100 parts in 40 minutes. Since Machine A is twice as fast as Machine B, then Machine A produces 100 parts \(\frac{40}{2}=20\) in minutes.

In 6 minutes, Machine A produces \(\frac{6}{20}*100=30\) parts.

Approach Solution 2:

Machine B produces 100 parts in 40 minutes. Machine A produces 100 parts twice as fast as B, so Machine A produces 100 parts in 40/2 = 20 minutes.

Now, Machine A produces 100 parts in 20 minutes which is 100/20 = 5 parts/minutes

5 parts * a total of 6 minutes = 30

Approach Solution 3:
Given:

Machine A produces 100 parts twice as fast as Machine B.

Since Machine B produces 100 parts in 40 minutes, Machine A produces 100 parts in 20 minutes. (Both machines produces parts at a constant rate)

Number of parts produced by Machine A in 20 minutes = 100

Number of parts produced by Machine A in 1 minute = 100/20= 5

Number of parts produced by Machine A in 6 minutes = 6*5 = 30

“Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

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