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A wood beam 48 inches in length is cut into two smaller beams. If one
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25 Jul 2017, 21:43

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A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

79% (00:55) correct 21% (00:43) wrong based on 92 sessions

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A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

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25 Jul 2017, 22:00

Bunuel wrote:

A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

A. 14 B. 18 C. 28 D. 30 E. 34

Let length of smaller beam = x length of longer beam = x+20

x+ x+20 = 48 => x = 14 Length of longer beam = 34

Answer E
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Re: A wood beam 48 inches in length is cut into two smaller beams. If one
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26 Jul 2017, 16:12

Bunuel wrote:

A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

Re: A wood beam 48 inches in length is cut into two smaller beams. If one
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27 Jul 2017, 07:53

Top Contributor

Bunuel wrote:

A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

A. 14 B. 18 C. 28 D. 30 E. 34

Using one variable (as the posters above have done) is preferable to 2 variables. But, just for kicks, let's solve it with 2 variables.

Let S = length of SHORTER beam Let L = length of LONGER beam

A wood beam 48 inches in length is cut into two smaller beams. So, we can write: L + S = 48

One of the new beams is 20 inches longer than the other We can write: L = S + 20 Subtract S from both sides to get: L - S = 20

We now have the following system: L - S = 20 L + S = 48

ADD the two equations to get: 2L = 68 Divide both sides by 2 to get: L = 34

Re: A wood beam 48 inches in length is cut into two smaller beams. If one
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27 Jul 2017, 08:02

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Bunuel wrote:

A wood beam 48 inches in length is cut into two smaller beams. If one of the new beams is 20 inches longer than the other, what is the length of the longer beam?

A. 14 B. 18 C. 28 D. 30 E. 34

We can also solve this by testing the answer choices

let's start with answer choice C

C) 28 This means the longer beam has length 28 Since the longer bean is 20 inches longer than the shorter beam, this means the shorter beam has length 8 If we add the two lengths we get: 28 + 8 = 36, but we're told the combined length must be 48 ELIMINATE C

NOTE: Using answer choice C (28), the combined length (of 36 inches) was not long enough. This means we need the longer beam to be LONGER than 28 inches. So, we can ELIMINATE A and B as well

Now try D D) 30 This means the longer beam has length 30 Since the longer bean is 20 inches longer than the shorter beam, this means the shorter beam has length 10 If we add the two lengths we get: 30 + 10 = 40, but we're told the combined length must be 48 ELIMINATE D

At this point, since we have already eliminated A, B, C and D, answer choice E MUST be correct. That is, we need not test it, since doing so would waste valuable time.

That said, let's test it (for fun!!!) E) 34 This means the longer beam has length 34 Since the longer bean is 20 inches longer than the shorter beam, this means the shorter beam has length 14 If we add the two lengths we get: 34 + 14 = 48 PERFECT!!

Re: A wood beam 48 inches in length is cut into two smaller beams. If one
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07 Feb 2019, 04:53

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