Time and Work

DIRECTION: Type in your answer in the input box provided below the question. 87 men can do a certain job in 94 days. The same job is instead started by one man on the first day and then, from the second day onwards, each day some more persons join the work. If the number of persons joining on the nth day (n = 2) is twice that of those joining on the (n - 1)th day, in how many days will the job get completed?

Directions : Select the correct alternative from the given choices. Eight men and three women can complete a certain work in eight days, which twelve men and a women take six days to complete. If a man and nine women take ten days to complete the same work, find a. (Assume that both men and women have a positive rate of work)

A takes thrice as much time as B to finish a job. B and C together take one quarter of the time to finish the job that A takes working alone. Moreover, in order to finish the job, A takes 5 days more than the number of days taken by three of them working together. In how many days will C take to finish the job working alone?

Laxman, Madan and Naman started a piece of work. They worked on it for 5 days, after which Laxman left. The other two continued to work for 5 more days after which Madan left and the remaining work was completed by Naman in 5 more days. If Madan alone can complete the work in 30 days and Naman alone takes more than 45 days to complete the work, then which of the following is true?

𝐴, 𝐵 and 𝐶 together can complete a certain work in 10 days. If 𝐴's efficiency is decreased by 20%, 𝐵's efficiency is increased by 20% whereas 𝐶 works at his usual efficiency, it still takes them 10 days to complete the work. However, if 𝐴 works at his usual efficiency, 𝐵 increases his efficiency by 50% whereas 𝐶 increases his efficiency by 25%, then in how many days can they together complete the work (in days).

Ajay and Babar were scheduled to start a project at 9:00 AM in the morning, but one of them joined the work one hour after schedule, i.e., at 10:00 AM, while the other was on schedule. If it is given that, the project would be completed at 3:00 PM on the same day had Babar been late and at 2:30 PM on the same day had Ajay been late, then find the scheduled time when the project was supposed to be completed.

Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days to finish a job. On the other hand, Rahul and Gurmeet, working together would have taken less than 15 days to finish the job. However, they all worked together for 6 days, followed by Rakshita, who worked alone for 3 more days to finish the job. If Rakshita had worked alone on the job, then the number of days she would have taken to finish the job cannot be

Rajeev alone can do a certain work in 6 days less than the time that Sanjeev alone takes to complete it. They started the work together, but after 4 days, Sanjeev leaves. If Rajeev completes the remaining work in 3.5 more days, then find the time that Sanjeev alone takes to complete the entire work. It is given that in the entire process, Rajeev completed 75% of the work.

Rahul and Priya can complete a certain task in 20 days when working together for 8 hours a day. If Rahul works alone at his usual efficiency for 6 hours every day, and Priya works alone for 8 hours every day with 25% more efficiency than usual, they can finish the task in 25 days. In how many approximate days will Rahul alone complete the task at his usual efficiency if he works for 8 hours every day?