Sonu can do a piece of work in 15 days while Monu can do the same work in 20 days. How long will they take to do the same work if they work together. 

Asked by Cl_narayan | 31st Jul, 2019, 04:27: PM

Expert Answer:

Let sonu do x piece of work in 15 days
W o r k space d o n e space b y space S o n u space i n space 1 space d a y space equals space x over 15
W o r k space d o n e space b y space M o n u space i n space 1 space d a y space equals space x over 20
I f space t h e y space w o r k space t o g e t h e r comma space w o r k space d o n e space i n space o n e space d a y space equals space x over 15 plus x over 20 equals fraction numerator 7 x over denominator 60 end fraction
 
So,
 
fraction numerator 7 x over denominator 60 end fraction of work can be done in 1 day.
 
x amount of work can be done in fraction numerator 1 X 60 over denominator 7 end fraction days.
This gives the value of x as 8.5 days (approx).

Answered by  | 1st Aug, 2019, 10:29: AM