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A machine, working at a constant rate...

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A machine, working at a constant rate...

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A machine, working at a constant rate, manufactures 36 straplers in 28 minutes. How many straplers does it make in 1 hr 45 min?

A. 125
B. 128
C. 135
D. 144
E. 150

The OA is C.

Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.

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swerve wrote:
A machine, working at a constant rate, manufactures 36 straplers in 28 minutes. How many straplers does it make in 1 hr 45 min?

A. 125
B. 128
C. 135
D. 144
E. 150

The OA is C.

Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
We could also use our trusty R * T = W formula.

R = 36 staplers/28 minutes. 36/28 = 9/7.
T = 1 hour 45 minutes = 105 minutes
9/7 * 105 = W
9*15 = W
135 = W

The answer is C

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swerve wrote:
A machine, working at a constant rate, manufactures 36 straplers in 28 minutes. How many straplers does it make in 1 hr 45 min?

A. 125
B. 128
C. 135
D. 144
E. 150
We can solve this using equivalent ratios

We're comparing machine output (measured in # of staplers) with time (in minutes)

1 hr 45 min = 105 minutes
Let x = # of staplers that can be made in 105 minutes

We get: 36/28 = x/105
Cross multiply to get: (28)(x) = (36)(105)
Divide both sides by 28 to get: x = (36)(105)/(28)
To calculate this, it's useful to recognize that 105 = (7)(15) and 36 = (4)(9) and 28 = (4)(7)
So, we get: x = (4)(9)(7)(15)/(4)(7)
Simplify to get: x = (9)(15)
= 135

Answer: C

Cheers,
Brent

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