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Re: If 20 typists can type 48 letters in 20 minutes, then how many letters
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09 Jun 2016, 02:55
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Bunuel wrote:
If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
A. 63 B. 72 C. 144 D. 216 E. 400
Typist---------------letters--------------time --20------------------48------------------20 --20-----------------48*3--------------20*3 --1------------------\(\frac{48*3}{20}\)-----------60 min --30----------------\(\frac{48*3*30}{20-}\)---------60 min
Answer = \(\frac{48*3*30}{20-}=24*3*3 = 216\) D
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Re: If 20 typists can type 48 letters in 20 minutes, then how many letters
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15 Jun 2016, 00:36
Bunuel wrote:
If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
A. 63 B. 72 C. 144 D. 216 E. 400
20 typists can type 48*20 letter minutes 20*20 typist-minutes is equal to 48 letters 1 typist-minute is equal to 48/(20*20) letters 30*60 typist-minutes is equal to 48*30*60/(20*20) letters =216 letters.
Re: If 20 typists can type 48 letters in 20 minutes, then how many letters
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03 Jul 2016, 10:22
The question is asking about the amount of work done in 60 mins or 1 hours. Using this information we can calculate, the amount of work done by 20 typists in 60 minutes 3 (20)*48 = 144 words. Now we can use the unitary method to find the work done by 30 typists in 60 mins i.e. 144/20*30 = 216 word.
Tip: For a fixed time more men imply more work. (considering work done by each man is consistent) therefore, we can also eliminate answer choice A, B, C.
Re: If 20 typists can type 48 letters in 20 minutes, then how many letters
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03 Jul 2016, 10:51
Bunuel wrote:
If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
A. 63 B. 72 C. 144 D. 216 E. 400
20 typists can type 48 letters in 20 minutes
So, working at same pace 20 typists can type 48*3 letters in 1 hour (20*3 minutes) Or, 20 typists can type 144 letters/hr So, Efficiency per worker is 144/20
If 30 workers are employed , they can produce = 144/20*30 =>216 letters Answer will be (D) _________________
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Abhishek....
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Re: If 20 typists can type 48 letters in 20 minutes, then how many letters
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10 Jan 2017, 10:06
I used ratios typers:letters:mins 20:48:20 Question asks for one hour first converted 20 mins into one hour by multiplying by 3 Letter:mins 48(3):20(3) 144:60 mins
then to make the 20 equal to 30 typers i multiplied by 3/2 and also multiplyed 3/2(144) typers : letters 20(3/2) = 30 typers : 144(3/2) = 216 letters 30 typers: 216 letters
Re: If 20 typists can type 48 letters in 20 minutes, then how many letters
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01 Aug 2018, 16:27
Bunuel wrote:
If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
A. 63 B. 72 C. 144 D. 216 E. 400
We can set up a proportion to determine the rate n (number of letters per minute) of 30 typists.
20 typists / rate of those 20 typists = 30 typists / (unknown) rate of those 30 typists
20/(48/20) = 30/n
20/(12/5) = 30/n
100/12 = 30/n
100n = 12 x 30
10n = 12 x 3
10n = 36
n = 3.6
We see that the rate of 30 typists is 3.6 letters per minute. So in 60 minutes, 30 typists can complete 3.6 x 60 = 216 letters.
Alternate Solution:
We know that 20 typists can type 48 letters in 20 minutes. Thus, we see that in 60 minutes, or 1 hour, those 20 typists can type 3 times as many letters, or 3 x 48 = 144 letters. We can now set up a proportion for n = the number of letters that can be typed in 1 hour by 30 typists:
20/144 = 30/n
20n = 144 x 30
2n = 144 x 3
n = 216
Answer: D
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