A particular work can be completed by 6 men and 6 women in 24 days, whereas the same work can be completed by 8 men and 12 women in 15 days. Find the time taken by 4 men and 6 women to complete the same work .
A
20 days
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
30 days
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
50 days
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
40 days
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B30 days From the question, we have (6 men and 6 women) 1 day work =124
(12 men and 12 women)1 day work=112 ... (1)
(8 men and 12 women)1 day work=115 ... (2) Subtracting (1) and (2), we get 4 men work =112−115=160
2 men work =1120
4 men and 6 women work =1 day work of 6 men and 6 women −1 day work of2 men.
=124−1120=4120=130
The time taken by 4 men and 6 women to complete the same work =30 days.