Question

Question 2
3 men can complete a work in 50 days. They can individually complete the work in 120
days, 230 days and 125 days respectively. Each man alternatively does not work one day
respectively. What would be the time required for three of them to finish the work
provided they take alternative days off ?
Select any one of the following options
100

Answer 1

Answer:

525

Explanation:

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Answer 2

If they do work alternatively. They will take 146 days.

Explanation:

Suppose, they work alternatively (one by one), also given in question.

Man 1 does 1 work in 120 days. Man 2 does 1 work in 230 days. Man 3 does 1 work in 125 days.

So,

               ⇒ In 1 day, Man 1  = $\frac{1}{120}$

                ⇒ In 1 day, Man 2  = $\frac{1}{230}$

                 ⇒ In 1 day, Man 3  = $\frac{1}{125}$

So, alternative way, in 3 days, work done is

               

         ⇒ in 3 days =   ($\frac{1}{120} +\frac{1}{230} +\frac{1}{125}$

 ⇒  ($\frac{1}{120} +\frac{1}{230} +\frac{1}{125}$) x $\frac{x}{3}$ = 1

where, 'x' is the no. of days require to complete the work when they do work alternatively divided by 3.

Hence ,

              ⇒ x = 145.06

So, total 146 days are required.