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A person can dig a well in 5 hours. He invites 2 person who

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A person can dig a well in 5 hours. He invites 2 person who [#permalink] New post 08 Mar 2006, 21:24
A person can dig a well in 5 hours. He invites 2 person who can work 3/4 as fast and another 2 person who can work 1/5 as fast as he does. If the 5 person team digs the same well, how long will it take for the team to finsh the job ?
A) 1:20
B) 1:30
C) 1:40
D) 1:50
E) 2:10

Guys, can you please explain how to solve this problem ?
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Re: Work Problem [#permalink] New post 09 Mar 2006, 04:28
vkgmat wrote:
A person can dig a well in 5 hours. He invites 2 person who can work 3/4 as fast and another 2 person who can work 1/5 as fast as he does. If the 5 person team digs the same well, how long will it take for the team to finsh the job ?
A) 1:20
B) 1:30
C) 1:40
D) 1:50
E) 2:10

Guys, can you please explain how to solve this problem ?

I dunno may be some typo? He invites 2 person who can work 3/4 as fast should we count them as 3/4 one and 3/4 second? or both together?
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 [#permalink] New post 09 Mar 2006, 04:44
I get 1:45 ?

assuming each person's rate is 3/4 or 1/5
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Re: Work Problem [#permalink] New post 09 Mar 2006, 11:22
vkgmat wrote:
A person can dig a well in 5 hours. He invites 2 person who can work 3/4 as fast and another 2 person who can work 1/5 as fast as he does. If the 5 person team digs the same well, how long will it take for the team to finsh the job ?
A) 1:20
B) 1:30
C) 1:40
D) 1:50
E) 2:10

Guys, can you please explain how to solve this problem ?


1st person can finish 1/5 of the digging in 1 hour
first 2 people can finish digging 2/(5/(3/4)) = 3/10 in 1 hour
second 2 people can finish digging in 2/(5/(1/5)) = 2/25 in 1 hour

Adding them via a common denominator we get up we get:

(1/T) = 10/50 + 15/50 + 4/50 = 29/50

Thus the time to dig the entire well, T is 50/29 = 1 and 21/29 of an hour

This is roughly equal to 1 hour and 40 minutes (21/29 =~ 40/60)

Answer is C
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 [#permalink] New post 09 Mar 2006, 11:37
50/29 hours

duh....i was wondering why there were ratios in the answers...it was time!
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 [#permalink] New post 09 Mar 2006, 12:39
The OA is C (1:40)

Thanks gpmagnus for your explanation. It was helpful

Yurik79 : We should count 3/4 twice as explained by gpmagnus

hellom3p : The answer are not ratio they are time (1 Hour and 40 Min)
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 [#permalink] New post 09 Mar 2006, 20:51
I think that this question is not formulated correct. how long will it take for the team to finsh the job ? I think that the word approximately should be in the question stem IMHO[/u]
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 [#permalink] New post 09 Mar 2006, 22:16
same as gpmagnus

1 / (1/5 + 3/10 + 2/25) = 50/29

however i wasn't sure cause is close to 1:45
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 [#permalink] New post 09 Mar 2006, 23:18
"C"

1 hour ~43 mins.
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 [#permalink] New post 10 Mar 2006, 07:53
Hello gpmagnus,
Can you explain how you got these lines

first 2 people can finish digging 2/(5/(3/4)) = 3/10 in 1 hour
second 2 people can finish digging in 2/(5/(1/5)) = 2/25 in 1 hour

from the qn(2 are 3/4 as fast and 2 are 1/5th as fast as the first person)
  [#permalink] 10 Mar 2006, 07:53
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