Question

Ramesh can complete 1/5 of the work in 5 days
Sohan alone can complete 1/4of the
same work in 5 days. If they work together,
work if they work together?
days. If they work together, how long will they take to complete​

Answer 1

let wok be x

work done by Ramesh in 5 days = 1/5x

work done by Sohan in 5 days = 1/4x

WOK DONE BY BOTH IN 1 DAY

1/1/5 x + 1/1/4 x = 1

5x + 4x = 1

9x = 1

x = 1/9

$ince, 1 day = 24 hrs

x = 24/9 hrs

Answer 2

Therefore they will complete the work in $11\frac{1}{9}$  days.

Step-by-step explanation:

Given,

Ramesh can complete $\frac{1}{5}$ of the work in 5 days

Ramesh can complete the work in $=(\frac{5}{\frac{1}{5} })$ days

                                                       =25 days

Sohan can complete $\frac{1}{4}$ of the work in 5 days.

Sohan can complete the work in $=\frac{5}{\frac{1}{4} }$   days

                                                     = 20 days.

Part of work done by Ramesh in 1 day is $\frac{1}{25}$

Part of work done by Sohan in 1 day is $\frac{1}{20}$

Part of work done by Ramesh and  Sohan in 1 day is $=(\frac{1}{20} +\frac{1}{25})$

                                                                                      $=\frac{5+4}{100}$

                                                                                      $=\frac{9}{100}$

If they work together, they will complete the work in

$=\frac{1}{\frac{9}{100}}$    days $=\frac{100}{9}$ days $=11\frac{1}{9}$ days