Assignment - 9.1
1. If 15 men can do a piece of work in 10 days, then how many men are
required to complete it in 50 days?
Answers
Answered by
3
Answer:
Step-by-step explanation:
There is an indirect relationship between men and days which helps to derive a formula which is as follows,
M1*D1 = M2*D2 (Where M=Men and D=Days, 1&2 are differentiating variables)
So, solving the question through this formula,
Let the number of men required to complete the work in 50 days be equal to x men.
Then,let, M1=15 men
D1=10 days
M2=x men
D2=50 days
Applying all the values to the formula,
15*10 = x*50
x= 15*10/50
x=3
Therefore, number of men required to complete the work in 50 days are 3 men.
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Answered by
0
Given A can do the work in 10 days ,B can do the work in 12 days and C can do the work in 15 days.
Then A's one day's work =
10
1
B's one day's work =
12
1
C's one day's work =
15
1
Then (A+B +C)'s one day's work =
10
1
+
12
1
+
15
1
=
1800
450
=
4
1
(A+B+C)'s two days' work =
4
1
×2=
2
1
But B leaves 3 days before the work gets finished, so C does the remaining work alone
C's 3 days' work =
15
1
×3=
5
1
Then work done in 2+3 days =
2
1
+
5
1
=
10
7
Work done by B+C together =1−
10
7
=
10
3
(B + C)'s one day work =
12
1
+
15
1
=
20
3
So number of days worked by B and C together=
10
3
×
3
20
=2 days
Then total work done =2+3+2=7 days
Then A's one day's work =
10
1
B's one day's work =
12
1
C's one day's work =
15
1
Then (A+B +C)'s one day's work =
10
1
+
12
1
+
15
1
=
1800
450
=
4
1
(A+B+C)'s two days' work =
4
1
×2=
2
1
But B leaves 3 days before the work gets finished, so C does the remaining work alone
C's 3 days' work =
15
1
×3=
5
1
Then work done in 2+3 days =
2
1
+
5
1
=
10
7
Work done by B+C together =1−
10
7
=
10
3
(B + C)'s one day work =
12
1
+
15
1
=
20
3
So number of days worked by B and C together=
10
3
×
3
20
=2 days
Then total work done =2+3+2=7 days
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