Solving a work rate problem

Question

One person can complete a task in 5 hours another person can complete the same task in 6 hours how long will it take both people working together to complete the task

Answer 1

Let X = time it takes both people working together to complete the task

We write the equation on the basis of 1 hour.

So 1/5 is the fraction of the task completed by the person who takes 5 hours when working alone.

And 1/6 is the fraction of the task completed by the person who takes 6 hours when working alone.

And 1/X is the fraction of the task completed by the 2 people working together.

1/5 + 1/6 = 1/X

Now multiply everything by 30X which is the common denominator.

That gives us 6X + 5X = 30

11X = 30

X = 30/11 or a little less than 3 hours

Answer 2

1/5 + 1/6 = 1/h

multiply by 30h

6h + 5h = 30

11h = 30

h = 30/11 = 2 and 8/11 hours to complete the job

in one hour, one guy does 1/5 of the task, the other does 1/6. together they do 1/h of the task

1/5 + 1/6 = 1/h

Answer 3

t represents the time working together

(t / 5) + (t / 6) = 1

Can you solve for t and answer?