Question

One person can complete a typing project in 6 hours, and another can complete the same project in 9 hours. How long will it take the two people working together to complete the project?

Answer 1

3.6 hours

Explanation:

One person can complete a typing project in 6 hours,

Hence, in 1 hour, 1/6 of the project is completed by person A

Another can complete the same project in 9 hours.

Hence, in 1 hour, 1/9 of the project is completed by person B

Let the number of hours of completing the project be represented by 1

Hence,

x/6 + x/9 = 1

We find the L.C.M

9x + 6x/54= 1

15x/54 = 1

Cross Multiply

15x = 54

x = 54/15

x = 3.6 hours.

Therefore, both people can complete the project in 3.6 hours.