Question

Pari needs 4 hours to complete the work. His friend Yuvan needs 6 hours to complete the same work. How long will it take to complete if they work together? ​

Answer 1

Answer:

2 hours 24 minutes

Step-by-step explanation:

If one object does some work in particular time and another object does it in another time, then

Formula → first inverse then time and the add them and the re-inverse the result.

Pari does this work in 4 hours

Yuvan does this work in 6 hours

According to the formula,

6⇅ + 4⇅

= $\frac{1}{6}+\frac{1}{4}$

= $\frac{2}{12}+\frac{3}{12}$

= $\frac{5}{12}$⇵

= $\frac{12}{5}$ hrs

To change into time,

$\frac{12}{5}$hrs × 60 mins

= 144 mins

= 2 hrs 24 mins

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