Sun	Mon	Tue	Wed	Thu	Fri	Sat
23	24	25	26	27	28	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31	1	2	3	4	5

Back to Main Page

Multiple Choice Questions

If 9 men and 12 boys can do a piece of work in 4 days and 4 men and 16 boys can do the same piece of...........

Quantitative Aptitude (CCS) Time and work

If 9 men and 12 boys can do a piece of work in 4 days and 4 men and 16 boys can do the same piece of work in 6 days, how long will 6 men and 24 boys take to complete the same work?

5 days

2 days

1 day

4 days

छोटे Courses बड़े Results

Master Time and work

Prepare through Micro-courses

Try Now

Explanation:

From the information given for the first two instances,
(9M + 12B) x 4 = (4M + 16B)x 6
36M + 48B = 24M + 96B
36M - 24M = 96B - 48B
12M = 48B
M = 48/12 B = 4B
Now substitute this value for Boys in each instances, let’s calculate the total units of work in terms of Men
(9 M + 12 B) x 4 = (9M + 3 M) x 4 = 48 M . So the total units of work done is 48.
Now getting to the final instance,
6M + 24B = 6M + 24/4M = 12M. That means it is the same as the first case.
So number of days required is 48/12 = 4

Report error