# Word Problems 4

**Problem 4: Three persons namely A, B and C can do a certain work individually in 15 days, 6 days and 10 days respectively. If work becomes 3 times then, A, B and C will finish it together in how many days ?**

**Solution : **

We arrange this data as under;

For A’s case;

15 days equal to the work

i-e

or

So, A’s rate of work is

where W stands for work

Similarly,

For knowing capacity of doing work altogether , we take sum of all three A, B and C’s rates;

So, it means A, B, and C together can do work in one day is 1/3 of work

or we can say ;

or we can write;

Taking 3 to left side;

**This means A, B and C can finish work in 3 days**

** **