A b c can finish task in 42 days 84 days 28 days.a started work b joined him after 3 days if c joined after 5 days from.beginning for bpw many days a work
Answers
Question (Corrected):
A B and C can finish task in 42 days, 84 days and 28 days respectively. A started work. B joined him after 3 days. C joined after 5 days from.beginning. How many days did A worked for?
Given:
A can finish the work in 42 days.
B can finish the work in 84 days.
C can finish the work in 28 days.
A started working.
B joined in 3 days later.
C joined in 5 days later.
To Find:
Number of days A worked.
Solution:
A can finish the work in 42 days.
1 day = 1/42 of the work
B can finish the work in 84 days.
1 day = 1/84 of the work
C can finish the work in 28 days.
1 day = 1/28 of the work
Find the amount of work done in the first 3 days:
Work done (by A alone) = 3 x 1/42
Work done (by A alone) = 1/14
Find the amount of work done in the next 2 days:
Work done (by A and B) = 2 x ( 1/42 + 1/84)
Work done (by A and B) = 1/14
Find the work completed in the first 5 days:
Work done = 1/14 + 1/14
Work done = 1/7
Find the amount of work undone:
Work undone = 1 - 1/7
Work undone = 6/7
Find the amount of work that the 3 of them can complete in a day:
Work done in a day (By A, B and C) = 1/42 + 1/84 + 1/28
Work done in a day (By A, B and C) = 1/14
Find the number of days needed:
Number of days needed = 6/7 ÷ 1/14
Number of days needed = 12
Find the number of days that A needs to work:
Number of days worked = 5 + 12
Number of days worked = 17
Answer: A worked for 17 days
Answer:
A worked for 17 days......