Time and Work Problems Shortcut Trick Type #5

Time and work problems are asked in most of the competitive examination including SSC and IBPS etc. The time given to solve the questions in these exams in very limited that only a candidate with practice of shortcut methods of quantitative aptitude can solve most of the questions in quantitative aptitude. So to help you solve problems in quantitative aptitude of competitive examination, we have posted some good tricks which will help you solve problems in quantitative aptitude quickly and easily.

The time and work problem shortcut trick given below is type 5. We have recently posted all the 4 type.

2 men or 5 women or 10 children can do a piece of work in 36 days. In how many days, 1 man and 1 woman or 2 children can do that work?

Here is the shortcut trick for this type of question.

Let m denotes man

And w denotes woman

And c denotes children

The equation in the given question is

2m=5w=10c=36

Now equating men and women to children respectively,

2m=10c

so 1m=5c

and also 5w=10c

so 1w= 2c

putting these values in question to be answered

1m+1w+2c=?

5c+2c+2c=36      (putting the values of m and w shown above)

9c=36

So c=4

Now multiply this value of c to the given no. of children i.e.

10*4=40 days Ans.

So 1 man and 1 woman and 2 children will do that work in 40 days. Ans.

For better understanding, let us take another example.

3 men or 4 women or 12 children can do a work in 44 days. Determine in how many days, 2 men and 3 women and 5 children can do that work?

Let us do this question now with shortcut method

3m=4w=12c=44

3m=12c

1m=4c

So 2m=8c    (2m are asked in question)

Also 4w=12c

1w=3c

So 3w=9c

putting these values in question to be answered

2m+3w+5c=?

8c+9c+5c=44

22c=44

So c=2

Now multiply this value of c to the given no. of children i.e.

12*2=24 days Ans.

Now practice all time and work problems of this type. You can solve this type of questions in just 10 seconds if you practice this trick as you don’t have to write all the steps in the exam. You just have to find the answer.

So in your practice of these time and work question, just equate all the ‘or’ men and women and boys and find their equality and put them equal to days as shown above.