Ashifur August 8, 2023 - 16:34
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.

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