Question

pari needs 4 hours to complete a work.his friend yuvan needs 6 hours to do the same work.how ling will the job take if they work together?​

Answer 1

Answer:

1/(1/6+1/4)=2.4 hours

Answer 2

Answer:

In 2.4 hour both finish the work together.

Step-by-step explanation:

Time taken by Pari to finish the work = 4 hrs

Work done by Pari in a hour = 1/4

Time taken by Yuvan to finish the work = 6 hrs

Work done by Yuvan in a hour = 1/6

Work done by working together in an hour = 1/4 + 1/6 = 3/12 + 2/12 = 5/12

⇒ Time taken both working together to finish the work = $1\div\frac{5}{12}$

                                                                                            = $1\times\frac{12}{5}$

                                                                                            = 2.4 hour

Therefore, In 2.4 hour both finish the work together.