UPSC CDS/OTA

Time and Work

Mathematics

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Time and Work

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Questions

60

Time

30 min

Marks

30

Solutions

All inline

Q1A can do a piece of work in 24 days, while B can do it in 30 days. With the help, they can finish the whole work in 12 days. How much time is required for C to complete the work, alone?MediumSolve →Q2A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the same piece of work is:MediumSolve →Q3A is twice as good a workman as B and together they finish a piece of work in 14 days. In how many days can A alone finish the work?MediumSolve →Q4A is twice as efficient as B and C is twice as efficient as (b) What is the ratio of number of days taken by A, B and C, when they work individually?MediumSolve →Q5A is thrice as efficient as (b) Working together they complete the work in 3 days. If B takes 8 days more than A, what is the number of days taken by A to finish the whole work, alone?MediumSolve →Q6A and B can complete a task in 30 days when working together after A and B have been working together for 11 days, B is called away and A, all by himself completes the task in the next 28 days. Had A been working alone, the number of days taken by him to complete the task would have been:MediumSolve →Q7Krishna can do a work in 10 days while Mohan can do the same work in 20 days. They started work together, after 3 days Krishna left the work and Mohan completed it. For how many days Mohan worked alone more than the number of days required when both worked together?MediumSolve →Q8The ratio of efficiency of A to C is 5:3. The ratio of the number of days taken by B to C is 2: 3. A takes 6 days less than C, when A and C completes the work individually B and C started the work and left after 2 days. The number of days taken by A to finish the work is:MediumSolve →Q9Fatima and Zahira can do a piece of work in 12 days and 15 days respectively. If they work for alternate days and Fatima starts the work first, then in how many days will the work get completed?MediumSolve →Q10In the previous question if Zahira starts first, then in an hour many days will the work get completed?MediumSolve →

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