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

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?

(A) 30
(B) 25
(C) 20
(D) 15
(E) 7.5

(A) 30
(B) 25
(C) 20
(D) 15
(E) 7.5

Bunuel · Answer

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

In 6 minutes Machine A produces 6/20*100 = 30 parts.

Answer: A.

zatspeed · Answer

I did it this way

Machine B produces 100 part 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/minute.

5 parts X a total of 6 minutes = 30

Captain RoY · Answer

if machine A produces the parts twice as fast as machine B does,then machine A requires half as much times as machine B does, or 20 minutes, to produce 100 parts. in 6 minutes machine A will produce
 A=100/20 * 6
 = 30 parts
so, the best answer is 30

shashankism · Answer

Let Machine A produces 100 parts in x hours. So, Machine B produces 100 parts in 2x hours. 
Now Machine B produces 100 parts in 40 hours. So, Machine A produces 100 parts in 40/2 = 20 hours.

Machine A produce in 6 minutes = 100/20 *6 = 30

Answer A

generis · Answer

Rate of Machine B:

\frac{100parts}{40mins}  =  \frac{5parts}{2mins}

Rate of Machine A is twice that of B

Rate of Machine A:

\frac{5parts}{2mins} * 2  =  \frac{10parts}{2 mins}

How many parts does Machine A produce in 6 minutes?

\frac{10parts}{2 mins}  =  \frac{x}{6 mins}

2x = 60 ,  x = 30

Answer A

JeffTargetTestPrep · Answer

We can see that the rate of Machine B = 100/40 = 5/2 parts per minute. Since Machine A is twice as fast as Machine B, the rate of Machine A = 5/2 x 2 = 5 parts per minute.

Thus, in 6 minutes, Machine A can produce 5 x 6 = 30 parts.

Answer: A

hsn81960 · Answer

Rate of Machine B = 100/40 = 2.5
Rate of Machine A= 2X * 2.5 = 5
Machine A can produce = 5*6 =30

AyushCrackVerbal · Answer

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 =  \frac{100}{20} = 5

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

The correct answer is  A

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

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