Time & Work Level-3 Quiz-1

1. One man can complete a work in 129 days. One man starts the work and after that on each day one more man joins. With each man joining, the rate of work of every man doubles. In how many days does the work get completed?

2. Ram and Shyam can complete a job in 50 days and 60 days respectively. They worked only on weekdays (i.e., from Monday to Friday). They started working together on 20th January 2014, a Monday. On 9th February 2014, Ram met with an accident, and hence could not report
for work. Shyam continued to work alone and Ram joined him on 17th February 2014. On which date was the job completed?

3. Thirty men can complete a work in 12 days. One man starts the work and thereafter every day one more man joins the work and this continues till the work is completed. If all the men involved work at the same rate, then on which day is the work completed?

4. A house can be painted by 7 men and 2 women in 8 days, if they work for 12 hours a day. Working at the same rate, 6 men and 20 women can do the same job in 4 days. In how many hours can 8 men and 8 women paint the house?

5. In a garrison with 600 men, there are provisions which are sufficient for 24 days. After 18 days, 300 additional men join. In addition, the average consumption per head also changes. As a result, the provisions last for only three more days. What is the percentage increase in the
average consumption per day for the last three days?

6.

Amar, Bhavan, Chetan and Dinesh each had some money. Dinesh doubled the amount with the others. Chetan then doubled the amounts with the others. Bhavan then doubled the amounts with the others. Amar then doubled the amounts with the others. At this stage each of them has Rs. $80$. Find the initial amount with Chetan (in Rs.).

7.

8. A, B and C can individually complete a piece of work in 30, 50 and 75 days, respectively. They worked on one day each, with A starting the work followed by B the next day and C the next day. They continued working like this till the 30th day after which the remaining work was completed by B and C working on alternate days with B working on the 31st day. In how many days was the work completed?

9. There are 25 workers in a group. Each can do 1 unit of work per day. They start a job of 330 units. After each day, a worker of the same efficiency as each worker in the group joins the group. If the job was completed in x days, find x.

10. A can complete a work in 16 days and B in 12 days. Starting with A, they work on alternate days. The total work will be completed in how many days?