QA Free Quiz || Time and Work

A works for 12 minutes followed by a rest of 3 minutes and B works for 7 minutes followed by a rest of 3 minutes. A alone can complete the work in 54 days, and A & B together can complete the work in 33 days. If A and B together started the work and B did not take rest, then in how many days was the work completed?

A and B working alone can complete a work in x days and (x – y) days such that y is an odd composite number less than 21 but greater than 9 and it is the sum of two prime numbers. If A and B will work on alternate days such that B will work with 1/6^th less efficiency and A will work with 25% more efficiency, then the total number of days taken to complete the work will be an odd number and it will be the same irrespective of who starts the work. Find the possible value of x.

In the below field, the radius of the circle, which touches the three sides of the triangle is 14 metres and the side AB of the right-angled triangle is 42 metres. A farmer has to plough the below field. Ploughing the same area of the circular field requires twice the effort than the remaining field. If a farmer takes 96 days to plough the whole field, then his son, who is 25% less efficient than the farmer, will take how many days to plough the portion other than the circular field? (Value of π = 22/7)

While doing the work alone, A and B take 50 and 32 more days than the number of days taken by A and B together to complete the work. A works for x days and then leaves the work, and B completes it in y days. In another instance, A works for x/2 days and then leaves the work and B needs 2y days to complete the work. Find the difference between x and y.

While doing any work, the difference between the efficiencies of A and B is 200% of the efficiency of A . B takes 16 more days than C to do a work. B and C started the work, and after certain days, A joined the work and B left. If this would have happened 3 days before, then the work would have been completed in 1 more day. In how many days can A do the work alone?