Ms. Reema runs an NGO for the under privileged children. Every year, she collects old clothes and alters them to suit the needs of the orphan children. 48 women volunteer to do the alteration job and put in 10 hours of work daily for 14 days. Next year to do the same job, Ms. Reema could get only 40 women volunteers who agreed to work 8 hours daily . In this situation find out how many days would be required to do the same job?
Answers
Given :- Ms. Reema runs an NGO for the under privileged children. Every year, she collects old clothes and alters them to suit the needs of the orphan children. 48 women volunteer to do the alteration job and put in 10 hours of work daily for 14 days. Next year to do the same job, Ms. Reema could get only 40 women volunteers who agreed to work 8 hours daily . In this situation find out how many days would be required to do the same job ?
Solution :-
Given that, this year 48 women volunteer to do the alteration job and put in 10 hours of work daily for 14 days.
and,
Next year to do the same job, Ms. Reema could get only 40 women volunteers who agreed to work 8 hours daily .
So, we have :-
- W1 = 48 women .
- H1 = 10 hours.
- D1 = 14 days.
- W2 = 40 women .
- H2 = 8 hours.
- D2 = ?
we know that, when same work is done, than the relation between the number of people working (N), the number of days worked (D) and the number of hours worked per day (H) for two different cases is :-
- N1 * D1 * H1 = N2 * D2 * H2 .
Putting all valued we get :-
→ 48 * 10 * 14 = 40 * 8 * D2
→ 4 * D2 = 6 * 14
→ 2 * D2 = 3 * 14
→ D2 = 3 * 7
→ D2 = 21 Days. (Ans.)
Hence, 21 days would be required to do the same job .