Multiple choice

5 men and 2 boys can finish a work in 14 days. 3 men and 4 boys can do it in 16 days. How long will 4 men and 3 boys take to complete it ?

  1. 18 days

  2. 10 days

  3. 12 days

  4. 15 days

  5. 20 days

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Let one man's daily work be m and one boy's daily work be b. From the given information, 70m plus 28b equals 1, and 48m plus 64b equals 1. Solving these simultaneous equations yields the daily work of one man as 1/105 and one boy as 1/140. The combined daily work of 4 men and 3 boys is (4/105) plus (3/140), which equals 7/105, meaning they complete 1/15 of the task per day. Therefore, they will finish the entire work in 15 days.