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Hey welcome all!
Today Work and Time topic is going to be discussed in a very preliminary and a simple manner! And experts, kindly note this: This is for beginners!
The Time and Work questions in Aptitude Rounds of many companies will be usually twisted or aesthetically framed to be in a difficult manner! But they are mostly very very simpler than we think.
These questions can easily be answered if you understand the question and use the following procedure:
The question is:
Arun can cut a Neem tree in 6 days. Bala* can cut the same tree in 12 days. If both Arun and Bala started to cut the tree together, how many days will they take to cut it down?
\\* No Sarcasm
The first thing that we are going to do is:
Shorten their Names: Take A for Arun. And take B for Bala. Do this for all Aptitude questions as it helps you to MAKE IT SIMPLE!
And then follow this strategy:
If A can cut a tree in 6 days, how many trees will he cut in a single day?
Yes! It is  1/6  of the tree!  
Similarly, if B can cut a tree in 12 days, he can cut 1/12 of a tree in a single day!
And if they cut together, they will cut  1/6  and  1/12  of the same tree together:
Means:
[ 1/6  +  1/12  ] of the tree will be cut by A and B together in a single day!
i.e., [1/6  +  1/12] = [ 2/12  +  1/12]      à  Basic Steps of Adding fractions

                    =  1/4 of the tree will be cut together in a single day by them together!
But the Question is: How many days will it take to cut a single tree by A & B together?
Now just think, you will get the answer! If they can cut quarter of the tree in a day, they will cut the whole tree in 4 days!
i.e.: Consider N to be the no. of days to cut the whole tree.
                      N  x  1/4 tree = 1 tree
                                         N=1 x 4
                                            = 4 days 
                           And the Answer is here!

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