Aman can do 50% of the job in 16 days, and Bhanu can do 25% of the job in 24 days. In how many days can they do \(\frac{1}{4}\)th of the job working together?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 6 days
First find how long each takes for the whole job; working together, their one-day works add up.
Aman does half the job in 16 days, so the whole job in \(16\times2=32\) days
Bhanu does a quarter of the job in 24 days, so the whole job in \(24\times4=96\) days
Together in one day: \(\displaystyle \frac{1}{32}+\frac{1}{96}=\frac{3+1}{96}=\frac{1}{24}\) of the job
So the whole job takes them 24 days, and \(\frac{1}{4}\) of it takes \(24\div4=6\) days