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# A certain number of men complete a piece of work in 60 days. If there

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Director
Joined: 07 Jun 2004
Posts: 555
Location: PA
A certain number of men complete a piece of work in 60 days. If there  [#permalink]

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07 Jan 2005, 16:11
2
1
6
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:59) correct 28% (02:16) wrong based on 119 sessions

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A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?

A. 10
B. 20
C. 30
D. 40
E. 50
VP
Joined: 18 Nov 2004
Posts: 1154
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

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07 Jan 2005, 17:58
1
1
40.

If there are x workers in first case 1 man will take 60x. In second it will be 50(x+8)

60x = 50x + 400
x = 40
VP
Joined: 25 Nov 2004
Posts: 1204
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

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07 Jan 2005, 23:16
1
suppose total number of men = x

x men can work a job in 60 days
x men can work 1/60 job in 1 day
1 man can work 1/60x in 1 day..........................1

x+8 can do the same job in 50 days
similarly,
1 man can do 1/50(x+8) job in 1 day ..............2

from 1 and 2, 1/60x = 1/50(x+8)

solving the equation, x = 40 men.
Senior Manager
Joined: 21 Sep 2004
Posts: 453
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

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09 Jan 2005, 10:09
40.
x-----60 days
x+8----50 days.
(x+8)50=60x
50x+400=60x
therefore, x=40.
Intern
Joined: 03 Nov 2018
Posts: 3
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

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05 Nov 2018, 04:50
1
Applying MDH method
X*60=(x+8)*50

On solving; x=40

Posted from my mobile device
VP
Joined: 31 Oct 2013
Posts: 1467
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
A certain number of men complete a piece of work in 60 days. If there  [#permalink]

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06 Nov 2018, 08:08
rxs0005 wrote:
A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?

A. 10
B. 20
C. 30
D. 40
E. 50

we are asked to find out the no. of workers there were at the beginning .

Let the no. of worker be x. Now we can calculate the total work algebraically.

60*x = total work.

but if there were 8 more men this task could be performed 10 days early. It means we could do the task in 50 days.

(x + 8) = total no. of men

So, 50(x + 8) = total work.

60x = 50(x + 8)

x = 40.

Useful property:

no. of men * rate * time = work.
VP
Joined: 09 Mar 2016
Posts: 1230
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

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06 Nov 2018, 08:38
rxs0005 wrote:
A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?

A. 10
B. 20
C. 30
D. 40
E. 50

let x be inital # of men

x = 60
x+8= 50
cross multiply

50x = 60(x+8)

50x=60x+480

50x-60x = 480

-10x = 480

x = - 48

strange why negative num i got does it mean that there was only 1 men who was working for 40 men

anyway 40-8 = 40
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Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

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07 Nov 2018, 19:08
rxs0005 wrote:
A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?

A. 10
B. 20
C. 30
D. 40
E. 50

The rate for the unknown number of men is 1/60.

The rate for 8 more men is 1/50.

We can let n = the original number of men and create the proportion:

n/(1/60) = (n + 8)/(1/50)

60n = 50n + 400

10n = 400

n = 40

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Re: A certain number of men complete a piece of work in 60 days. If there   [#permalink] 07 Nov 2018, 19:08
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