Two persons a and b can do a work alone in 29 days. A takes the rest of one day after every 4 days and b takes the rest of one day after every 5 days. If a and b starts working together, then the work will be completed on [1] 15th day [2] 16th day [3] 17th day [4] 18th day
Answers
Answer:
Step-by-step explanation:
Since a and b can do a work alone in 29 days
so one day work of A = 1/29
one day work of B = 1/29
means A and B both do 1 unit of work in one day individually
A and B do work together 4 days so
work done by both in after 4 days = 2*4 = 8
after 4 days A and B do work alternatively for 2 days so 2 days work = 2 unit
work done after 6 days = 8 + 2 = 10 unit
so after 12 days work = 20 unit
After 16 days work done = 20+ 2*4
= 28 unit
At last day i.e. 17 day B will do 1 unit so
work done = 29 unit
Hence work will be completed on 17th day
Concept:
Profit and loss statements are calculated by subtracting a company's total revenue from its total expenses, including taxes. The resulting figure is referred to as net income. If it is negative, the company has lost money; if it is positive, the company has made money.
Given: Two persons a and b can do a work alone in days. A takes the rest of one day after every
days and b takes the rest of one day after every
days. If a and b starts working together.
Find: If a and b starts working together, then the work will be completed on [1] 15th day [2] 16th day [3] 17th day [4] 18th day.
Solution:
A and B have same performance of work i.e.
they start to gather till forth day and A takes rest fifth day B takes rest and so on for next cycle…..
work done in days by both is
there will be such cycle i.e.
days (i.e.
of job completed
left over job at start of day
–
day more to be carried first by b then he takes rest
completed by a in last day
total days .
Hence the correct is [3] 17th day.
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