Deep, Maharsh, and Parthiv take 6, 12, and 18 days, respectively, to complete a work alone. If they worked together and got a total amount of 33,000 for completing the work, then calculate the amount of money that each of the three will get.
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A,B and C can complete a work in 6,12, and 18 days respectively. A and B started the work and C joined them after one day.B left 2 days before the work complete.Find number of days they all work together.
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Let the Work to be done be W
Work Done per day by
A:
6
W
B:
12
W
C:
18
W
Let us assume that they work together for x days
So,
1(
6
W
+
12
W
)+x(
6
W
+
12
W
+
18
W
)+2(
6
W
+
18
W
)=W⇒
36
11Wx+25W
=W⇒
36
11x+25
=1
⇒11x=11⇒x=1
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