Question

Anup can do a work in 10 days and James can do same work in 15 days. In how many days will they complete

the work together. ​

Answer 1

Formula : xy / (x+y)
= (10 * 15) / (10 + 15)
= 150 / 25
= 6 days

Answer 2

Answer:

Answer is 6 days

Step-by-step explanation:

Firstly, you can assume a number and assign it to the amount of work needed to be completed. The best way to assume the number is to take the LCM of no. Of days which both Anup and James are taking.

Here, you can take the LCM of 15 and 10. Which is 30.

Now, this 30 is the amount of work which is required to be completed.

Now, if Anup is completing it in 10 days, which means, he is doing 3 units of work everyday.

Similarly, James is doing 2 units of work everyday to complete it in 15 days.

So, if they will work together, they will complete 3+2=5 units of work everyday.

Now, assume they complete the work in x days.

So, x*5=30->x=6

Therefore, the answer is 6 days.

Q.E.D.:-)

Method 2-

Since Anup is completing the work in 10 days, so in one day, he would be doing 1/10th of the total work.

Similarly, James would be doing 1/15th of the total work in 1 day.

Now if both of them unite, they will do (1/15+1/10)the of the total work in one day.

Which is 5/30 or 1/6

So, in one day, they are doing 1/6th of the total work.

Hence, to complete the work, they require 6 days.