A can do 50% of your work in 16 days, B can do one fourth of the same work in 24 days in how many days they complete the same work working together?
A एक काम का 50% 16 दिन में भी, B उसी काम के ¼ भाग को 24 दिन में करते हैं दोनों मिल के उस काम को कितनी देर में करेंगे?
This Question Asked In:
SSC, CGL
Correct Answer :A - 24
Detailed Solution Video
Detailed Text Solution
Given:
A can do 50% (1/2) of the work in 16 days
B can do 1/4 of the work in 24 days
Step 1: Find total time of A
A does 1/2 work in 16 days
So, full work = 16 × 2 = 32 days
Efficiency of A = 1/32 work per day
Step 2: Find total time of B
B does 1/4 work in 24 days
So, full work = 24 × 4 = 96 days
Efficiency of B = 1/96 work per day
Step 3: Combined efficiency of A and B
A + B = 1/32 + 1/96
LCM of 32 and 96 = 96
= (3 + 1) / 96
= 4 / 96
= 1 / 24
Step 4: Time taken together
Time = 24 days
Final Answer:
A and B together will complete the work in **24 days**