Claim your Biolink Click Here
0 like 0 dislike
677 views
Nitu and nitika plan to finish a work in 10 days. They start working together. But after 7days they found that only half of the work was done. So they took help of naveen who is as efficient as nitika. In how many days will they finish the work if nitu is 1.5 times as efficient as nitika?
in Education & Reference by | 677 views

1 Answer

0 like 0 dislike
Best answer

It will take another 5 days therefore the original 7 days plus a further 5 = 12 days total.

Together Nitu and Nitika complete half the work in 7 days
Therefore together they would finish the work in 14 days (2 * 7)
Substituting Nitu with 1.5 Nitika it means that (1.5 + 1 = 2.5) Nitikas could finish the job in 14 days

By himself only Nitika could therefore finish the job in 14 * 2.5 = 35 days
Naveen by himself could also finish the job in 35 days
Nitu could finish the job in 35 * 2/3 = 70/3 days 23 1/3 days

Therefore as the LCM of 35 and 23 1/3 = 70
In seventy days Working together they could complete 70/35 + 70/35 + 70/23 1/3 jobs
= 2 + 2 + 3 = 7 jobs completed in 70 days
1 job therefore takes 70 /7 = 10 days

As half the work has already been completed before Naveen starts, the job will be finished in 10 / 2 = 5 days

CHECK
In 5 days Nitika can complete 5/35 of the work = 10/70
In 5 days Naveen can complete 5/35 of the work =10/70
In 5 days Nitu can complete 5/ 23 1/3 of the work = 15/70
in 5 days working together they can complete 10/70 + 10/70 + 15/70 = 35/70 = 1/2 the work

In the 7 days before taking on Naveen, Nitu will have completed 7 / (23 1/3) of the work = 21/70
Nitika will have completed 7/35 = 14/70 of the work
21/70 + 14/70 = 35/70 = 1/2 therefore CORRECT


ANSWER = another 5 DAYS with the three working together + the original 7 days taken by Nitu and Nitika = 12 days altogether

by (4.7k points)

Related questions

3 like 0 dislike
1 answer
0 like 0 dislike
0 answers
asked Aug 18, 2013 in Business & Finance by Ritika | 1.1k views
0 like 0 dislike
2 answers
0 like 0 dislike
2 answers
1 like 0 dislike
1 answer

Where your donation goes
Technology: We will utilize your donation for development, server maintenance and bandwidth management, etc for our site.

Employee and Projects: We have only 15 employees. They are involved in a wide sort of project works. Your valuable donation will definitely boost their work efficiency.

How can I earn points?
Awarded a Best Answer 10 points
Answer questions 10 points
Asking Question -20 points

1,310 questions
1,471 answers
569 comments
4,809 users