Time and work formulas with examples for SSC and Bank Exams

Time and work formulas for Competitive Exams:
Formula with examples:
Example.1. Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but independently, to do the same job?
Ans . B
Example.2. A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
(A) 6
(B) 10
(C) 12
(D) 14
Ans . A
Hence, B alone can complete the work in 6 days.
Example.3. A can do piece of work in 7 days of 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together hours a day?
(A) 2
(B) 8
(C) 5
(D) 3
Ans . D
A can complete the work in (7×9) = 63 hours.
B can complete the work in (6×7) = 42 hours.
Ex.4. A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
(A) 20
(B) 25
(C) 27
(D) 30
Ans . C
Hence, A alone can finish the work in 27 days.
Ex.5. A can do a certain job in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Ans . B
Ration of times taken by A and B = 160 : 100 = 8 : 5.
Suppose B alone takes x days to do the job.
Then, 8 : 5 : : 12 : x
→ 8x = 5 × 12
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