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# 4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpente

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Math Expert
Joined: 02 Sep 2009
Posts: 61549
4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpente  [#permalink]

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16 Jan 2020, 02:57
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Difficulty:

15% (low)

Question Stats:

100% (00:56) correct 0% (00:00) wrong based on 31 sessions

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4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpenters make in 10 days?

A. 60
B. 70
C. 80
D. 90
E. 100

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Re: 4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpente  [#permalink]

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16 Jan 2020, 07:22
1
from given info
4*5/20 = 8*10/x
x= 80
IMO C

Bunuel wrote:
4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpenters make in 10 days?

A. 60
B. 70
C. 80
D. 90
E. 100
Intern
Joined: 16 Oct 2018
Posts: 32
4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpente  [#permalink]

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17 Jan 2020, 04:26
1
A very simple approach taken by me

----------------------------Workers--------Work (chairs)-------Time(days)
Given-------------------------4-------------------20------------------5

Per day-----------------------4--------------------4-------------------1
Increase workers------------8--------------------8-------------------1
Increase days--------------- 8-------------------80------------------10

Hence, 8 workers can make 80 chairs in 10 days.

Important to know variation and the relationship among variables.
For example - If time decreases then work done decreases, given workers are same, If workers are increased then work done increases, given time is the same, If time is increased then work done increases, given workers are same.

Correct me if I have gone wrong somewhere

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Re: 4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpente  [#permalink]

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17 Jan 2020, 10:23
Bunuel wrote:
4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpenters make in 10 days?

A. 60
B. 70
C. 80
D. 90
E. 100

$$M_1*D_1*W_2 = M_2*D_2*W_1$$

Or, $$4*5*W_2 = 8*10*20$$

Or, $$W_2 = 80$$ , Answer must be (C)
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Re: 4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpente  [#permalink]

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18 Jan 2020, 12:41
1
Bunuel wrote:
4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpenters make in 10 days?

A. 60
B. 70
C. 80
D. 90
E. 100

The rate of 4 carpenters is 20/5 = 4 chairs per day. Thus, the rate of 8 carpenters is 4 x 2 = 8 chairs per day. So in 10 days, 8 carpenters will make 8 x 10 = 80 chairs.

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Re: 4 carpenters make 20 chairs in 5 days. How many chairs will 8 carpente   [#permalink] 18 Jan 2020, 12:41
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