If a 4 men and 6 boys can do a work in 8 days and 6 men and 4 boys can do the same work in7 days , then how many days will 5 men and 4 boys take to do the same work ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 8
( 4 men + 6 boys ) × 8 = (6 men + 4 boys)×7
32 men + 48 boys = 42 men + 28 boys
10 men = 20 boys
M/B = 2/1
Total work = (4* 2 + 6 * 1 ) 8 = 112 unit
5 men and 4 boys take to do the same work = 112(5 * 2 + 4 * 1) = 112/14 = 8 days.