Question

Dinesh and Ramesh can independently completed a pieces of work in 80 minutes and 120 minutes respectively.lf they work together,how much time will they take to complete that piece of work?a) 24 minutesb) 100 minutesc) 48 minutesd) 200 minutes

Answer 1

Part of work completed in one day by each is 1/80 and 1/120 respectively.
Time taken = $\frac{80*120}{80+120}$
                    = 48

Time taken by them together = 48 minutes

Answer 2

Answer:

The correct option is C) 48 minutes  

Step-by-step explanation:

Dinesh can complete a piece of work in 80 minutes

⇒ One minute work of Dinesh = 1/80

Ramesh can complete a piece of work in 120 minutes

⇒ One minute work of Ramesh = 1/120

Now, we need to calculate time in which they both can complete their work

Required time = 1/80 + 1/120

                        = (3 + 2)/240

                        = 5/240

                        = 1/48

Therefore, They both can complete the same piece of work in 48 minutes

Hence, The correct option is C) 48 minutes