Time and Work Questions – Formulas, Tips and Solved Examples
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Nowadays competitive exams became very tough for candidates who are preparing competitive exams like SSC CGL, SSC CHSL, SSC MTS, Group D, Police Jobs, Banking, etc, though all most of the candidates have aptitude solving skills but they don't know how to solve it in less time or you can say they don't know time management, here you will how to solve the time and work aptitude questions with less time by using some simple tricks.
If A alone can do a certain work in 'x' days and A and B together can do the same work in 'y' days, then
Total time taken, when A, B and C work together
=$2/{(1/x + 1/y + 1/z)}$ OR ${2xyz}/{xy + yz + zx}$ days
Time and Work Questions With Examples
Question-1)
If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?
a) 15 days
b) 4$4/5$ days
c) 28 days
d) 60 days
Solutions:
By Using Shortcuts,
A alone do in = ${15 × 20}/{20 - 15}$
= ${15 × 20}/5$ = 60 days
Question-2)
A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work ?
a) 16 days
b) 4$2/5$ days
c) 12 days
d) 18 days
Solutions:
By Using Shortcuts,
Total time taken = ${2 × 18 × 24 × 36}/{18 × 24 +24 × 36 + 36 × 18}$
= ${36 × 24 × 36}/{432 + 864 + 648}$
= $31104/1944$ = 16 days
Test instructions :
- Total number of questions : 20
- Each question carries 1 mark
- Negative marks of Each Questions: 0.25
- Skiping questions No marks will deduct.
- Time allotted : 30 minutes