X can finish a work in 10 days and Y can finish a work in 15 days. Find in how many days can both of them finish the work together. In this type of question, what if another person Z is also added? Should you solve it the same way? X can finish a work in 10 days and Y can finish a work in 15 days. Find in how many days can both of them finish the work together. In this type of question, what if another person Z is also added? Should you solve it the same way? @Mathematics

Question

X can finish a work in 10 days and Y can finish a work in 15 days. Find in how many days can both of them finish the work together. In this type of question, what if another person Z is also added? Should you solve it the same way?  X can finish a work in 10 days and Y can finish a work in 15 days. Find in how many days can both of them finish the work together. In this type of question, what if another person Z is also added? Should you solve it the same way?  @Mathematics

anonymous · Answer

In one day, X can finish 1/10 of the job while Y can finish 1/15 of the job. Together, they can finish (1/10 + 1/15) = 1/6 of the job in one day. Thus, it will take them 6 days to  finish the job together. This can be solved similarly with a third person Z.

anonymous · Answer

thanks.