35 men can make 70 toys in 8 days by working 8 hours a day. How many days will 56 men need to make 84 toys by working 12 hours every day?
Answers
1st Case:
Men(1)= 35 men
Days(1) = 8 days
Hours(1)= 8 hours
Number of toys=70
Let men, days and hours be M_1,\:D_1\:and\:H_1M
1
,D
1
andH
1
respectively.....
2nd Case:
Men(2)= 56 men
Hours(2)= 12 hours
Number of toys= 84
Let Men and hours be M_2\:and\:H_2M
2
andH
2
respectively.
Let the days of the second case be D_2D
2
To find:
D_2D
2
Solution:
\displaystyle\frac{ M_1 \times D_1 \times H_1 }{number \: of \: toys } = \displaystyle\frac{M_2 \times D_2 \times H_2}{number \: of \: toys}
numberoftoys
M
1
×D
1
×H
1
=
numberoftoys
M
2
×D
2
×H
2
\displaystyle\frac{35 \times 8 \times 8}{70} = \displaystyle\frac{56 \times D_2 \times 12}{84}
70
35×8×8
=
84
56×D
2
×12
\displaystyle\frac{64}{2} = 8D_2 \:
2
64
=8D
2
16D_2=64 \:16D
2
=64
D_2= \displaystyle\frac{64}{16} \:D
2
=
16
64
D_2= 4daysD
2
=4days