A can do a piece of work in 14 days while B can do in 21 days they began together and worked at if for 7 days then A fell ill and B had to complete the work in how many days was the work completed
Answers
Answered by
2
Answer:
Number of days A required to do piece of work = 14 days
Number of days B required to do piece of work = 21 days
∴ We can calculate, work done by A in 1 day = 1/14
Work done by B in 1 day = 1/21
Work done by A, B together in a one day = 1/14 + 1/21 = 5/42
∴ They can work together in 42/5 days.
A and B work for 6 days and the work completed by A and B in 6 days
= 6 × 5/42 = 5/7
∴ Work left = 1- 5/7 = 2/7
Number of days taken by B to complete the left over work
= 2/7 × 21 = 6 (21 is used because 21 is the days required by B to complete a piece of work).
Time taken to complete the work = 6 + 6 = 12days
∴ Total time taken to complete the work =12day.
Interesting questions:
https://brainly.in/question/49273158
Similar questions