Answer:
The no. of days required to finish the work = 10 days
Step-by-step explanation:
In first case :-
No. of workers [tex]M_{1}[/tex] = 10
No. of days [tex]D_{1}[/tex] = 5
No. of hours taken [tex]H_{1}[/tex] = 2 hours
In second case :-
No. of workers [tex]M_{2}[/tex] = 2
No. of days [tex]D_{2}[/tex] = ??
No. of hours taken [tex]H_{2}[/tex] = 5 hours
We know that
⇒ [tex]M_{1}[/tex] [tex]D_{1}[/tex] [tex]H_{1}[/tex] = [tex]M_{2}[/tex] [tex]D_{2}[/tex] [tex]H_{2}[/tex]
⇒ Put all the values in above formula we get
⇒ 10 × 5 × 2 = 2 × [tex]D_{2}[/tex] × 5
⇒ [tex]D_{2}[/tex] = 10 days
Thus the no. of days required to finish the work = 10 days
