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Two boys and three girls had estimated to finish a certain paint job

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Manager
Joined: 16 Jan 2018
Posts: 91
Location: New Zealand
Two boys and three girls had estimated to finish a certain paint job  [#permalink]

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18 Aug 2018, 23:28
3
00:00

Difficulty:

75% (hard)

Question Stats:

38% (02:02) correct 62% (02:15) wrong based on 45 sessions

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Two boys and three girls had estimated to finish a certain paint job in 20 hours, however, some of the workers left the job before starting, as a result, the paint job now took 1.5 times more time to complete. How many workers left the job?

A. 1

B. 2

C. 3

D. 4

E. 5
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Two boys and three girls had estimated to finish a certain paint job  [#permalink]

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18 Aug 2018, 23:40
blueviper wrote:
Two boys and three girls had estimated to finish a certain paint job in 20 hours, however, some of the workers left the job before starting, as a result, the paint job now took 1.5 times more time to complete. How many workers left the job?

A. 1

B. 2

C. 3

D. 4

E. 5

Total work is $$(2 + 3) 20 = 100$$ man days

Now we have ,

So, $$(5 - w)(30 + 20) = 100$$ { w = No of workers left ; 30 + 20 : as it is given the reminaing workers took 1.5 more time to complete the job}

Or, $$(5 - w) = 2$$

Or, w = 3 (Answer must be C)
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Manager
Joined: 14 Jun 2018
Posts: 210
Re: Two boys and three girls had estimated to finish a certain paint job  [#permalink]

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19 Aug 2018, 05:45
Abhishek009 wrote:
blueviper wrote:
Two boys and three girls had estimated to finish a certain paint job in 20 hours, however, some of the workers left the job before starting, as a result, the paint job now took 1.5 times more time to complete. How many workers left the job?

A. 1

B. 2

C. 3

D. 4

E. 5

Total work is $$(2 + 3) 20 = 100$$ man days

Now we have ,

So, $$(5 - w)(30 + 20) = 100$$ { w = No of workers left ; 30 + 20 : as it is given the reminaing workers took 1.5 more time to complete the job}

Or, $$(5 - w) = 2$$

Or, w = 3 (Answer must be C)

Uhmm logically speaking , if 1 guy takes 100 hours , 2 should take 50 hours together ? (since 3 left ?)

5 workers takes 20 hours together , so 1 worker should take 100 hours alone.
Some workers left and now instead of 20 , it took them 30 hours to finish.

If 1 workers take 100 hours , 100 workers should take 1 hours.
Or 100/30 workers should take 30 hours = 3.33
Manager
Joined: 16 Jan 2018
Posts: 91
Location: New Zealand
Re: Two boys and three girls had estimated to finish a certain paint job  [#permalink]

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19 Aug 2018, 06:18
1
pandeyashwin wrote:
Abhishek009 wrote:
blueviper wrote:
Two boys and three girls had estimated to finish a certain paint job in 20 hours, however, some of the workers left the job before starting, as a result, the paint job now took 1.5 times more time to complete. How many workers left the job?

A. 1

B. 2

C. 3

D. 4

E. 5

Total work is $$(2 + 3) 20 = 100$$ man days

Now we have ,

So, $$(5 - w)(30 + 20) = 100$$ { w = No of workers left ; 30 + 20 : as it is given the reminaing workers took 1.5 more time to complete the job}

Or, $$(5 - w) = 2$$

Or, w = 3 (Answer must be C)

Uhmm logically speaking , if 1 guy takes 100 hours , 2 should take 50 hours together ? (since 3 left ?)

5 workers takes 20 hours together , so 1 worker should take 100 hours alone.
Some workers left and now instead of 20 , it took them 30 hours to finish.

If 1 workers take 100 hours , 100 workers should take 1 hours.
Or 100/30 workers should take 30 hours = 3.33

pandeyashwin you have analysed it correctly, but the new time is 1.5 times more than the original time, which is 20 + 1.5*20 = 50 hrs.

Solution :

We have, 5 workers take 20 hours, which means the rate of 1 worker is 1/100

Say, x workers left the job, the new number of workers is 5-x (working at the same rate of 1/100), and they take 20 + 30 = 50 hours to complete the work.

So, we have the equation (5-x) * 1/100 * 50 hrs = 1

which gives, 5 - x = 2 , or x = 3. So, 3 workers left the job.
Manager
Joined: 14 Jun 2018
Posts: 210
Re: Two boys and three girls had estimated to finish a certain paint job  [#permalink]

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19 Aug 2018, 06:36
blueviper wrote:

pandeyashwin you have analysed it correctly, but the new time is 1.5 times more than the original time, which is 20 + 1.5*20 = 50 hrs.

Solution :

We have, 5 workers take 20 hours, which means the rate of 1 worker is 1/100

Say, x workers left the job, the new number of workers is 5-x (working at the same rate of 1/100), and they take 20 + 30 = 50 hours to complete the work.

So, we have the equation (5-x) * 1/100 * 50 hrs = 1

which gives, 5 - x = 2 , or x = 3. So, 3 workers left the job.

Ahh , thanks for clarifying. I didn't read the question properly. I read it as "1.5 times more"
Re: Two boys and three girls had estimated to finish a certain paint job &nbs [#permalink] 19 Aug 2018, 06:36
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