Problem: For making a cupboard it requires human labor three times the labor required to make abench. Six carpenters can make 36 benches and 5 cupboards in 12 days. How many dayswill 10 carpenters require to make 61 benches and 8 cupboards?
View all: JANATA, SONALI, AGRANI & RUPALI BANK | OFFICER | WRITTEN QUESTION SOLVE(MATH) | 2008
Correct Answer: 12 days
Explanation:
According to the question
1 Cupboard = 3 benches
5 Cupboard = (3 x 5) = 15 benches
8 Cupboard = (3 x 8) = 24 benches
36 Benches and 5 Cupboards = (36 + 15) = 51 Benches
and 61 benches and 8 Cupboards = 61 + 24 = 85 Benches.
6 Carpenters can make 51 Benches in = 12 days
1 Carpenters can make 1 Benches in =$\frac{12×6}{51}$ days
1 Carpenters can make 85 Benches in =$\frac{12x6x85}{51}$ days
10 Carpenters can make 85 Benches in = $\frac{12x6x85}{51×10}$ = 12 days.