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If 10 men or 20 boys can make 260 mats in 20 days, then how many mats

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Bunuel
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If 10 men or 20 boys can make 260 mats in 20 days, then how many mats [#permalink] New post   21 Jan 2021, 04:30
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If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days?

(A) 240
(B) 260
(C) 280
(D) 520
(E) 530
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B
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Re: If 10 men or 20 boys can make 260 mats in 20 days, then how many mats [#permalink] New post   21 Jan 2021, 04:59
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Bunuel wrote:
If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days?

(A) 240
(B) 260
(C) 280
(D) 520
(E) 530


CONCEPT: \(\frac{M*T}{W} = COnstant\)
10 M = 20B
i.1. 1 M = 2 B

\(\frac{20B*(20)}{(260)} = \frac{(16+4)B*(20)}{(W)}\)

i.e.\(W = 260\)

Answer: Option B
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If 10 men or 20 boys can make 260 mats in 20 days, then how many mats [#permalink] New post   21 Jan 2021, 05:00
GMATinsight wrote:
Bunuel wrote:
If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days?

(A) 240
(B) 260
(C) 280
(D) 520
(E) 530


CONCEPT: \(\frac{M*T}{W} = COnstant\)
10 M = 20B
i.1. 1 M = 2 B

\(\frac{20B*(20)}{(260)} = \frac{(16+4)B*(20)}{(W)}\)

i.e.\(W = 260\)

Answer: Option B


GMATinsight can you tell more about this concept?
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If 10 men or 20 boys can make 260 mats in 20 days, then how many mats [#permalink] New post   21 Jan 2021, 10:58
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Nipungupta9081 wrote:
GMATinsight wrote:
Bunuel wrote:
If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days?

(A) 240
(B) 260
(C) 280
(D) 520
(E) 530


CONCEPT: \(\frac{M*T}{W} = COnstant\)
10 M = 20B
i.1. 1 M = 2 B

\(\frac{20B*(20)}{(260)} = \frac{(16+4)B*(20)}{(W)}\)


i.e.\(W = 260\)

Answer: Option B


GMATinsight can you tell more about this concept?



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Re: If 10 men or 20 boys can make 260 mats in 20 days, then how many mats [#permalink] New post   24 Jan 2021, 06:55
Expert Reply
Bunuel wrote:
If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days?

(A) 240
(B) 260
(C) 280
(D) 520
(E) 530

Solution:

In 20 days, each man can make 260/10 = 26 mats, and each boy can make 260/20 = 13 mats. Therefore, the number of mats 8 men and 4 boys can make in 20 days is:

8 x 26 + 4 x 13 = 208 + 52 = 260

Alternate Solution:

Since 10 men and 20 boys can do the same amount of job in 20 days, 1 man is equivalent to 2 boys. Thus, 8 men and 4 boys do the same job as 10 men in 20 days, which is given to be 260 mats.

Answer: B
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Re: If 10 men or 20 boys can make 260 mats in 20 days, then how many mats [#permalink] New post   04 May 2022, 03:49
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Re: If 10 men or 20 boys can make 260 mats in 20 days, then how many mats [#permalink]
04 May 2022, 03:49
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