Question
Two taps A and B can fill a cistern in 12 min and 16 min
respectively. If both taps are opened together and at the end of 4 min, B tap is turned off, then how much time will it take to fill the cistern?Solution
Tap A fills the tank in 12 minutes → So, in 1 minute, it fills 1/12
Tap B fills the tank in 16 minutes → So, in 1 minute, it fills 1/16
Both taps are open for 4 minutes:
In 1 minute, together they fill: 1/12 + 1/16 = 7/48 ​
In 4 minutes, they fill: 7/48 × 4 = 28/48 =7/12 ​
B is turned off. Only A fills the rest.
Remaining to fill: 1−7/12 = 5/12
A fills 1/12 per minute, so time to fill 5/12: 5/12 ÷ 1/12 = 5 minutes
‘A’ alone can do some work in 10 days. ‘B’ and ‘C’ together can do the same work in 4 days. If ‘B’ is half as efficient as ‘A’, then...
A 480-liter blend contains soap and water in a 5:3 ratio. Adding 60 liters of soap and (6u + 30) liters of water changes the ratio to 6:5. Find the rati...
5 girls can do a piece of work in 9 days, 4 boys can do the same piece of work in 8 days, 6 men do the same piece of work in 2 days and 4 women can do t...
A can complete a work in 15 days. B takes 6 days less than A to complete the same work. In how many days can both of them together complete 80% of the w...
If Pawan can do a piece of work in 6 days and Mantu can complete the same work in 2 days, then in how many days will both of them together complete the ...
55 men can complete a piece of work in 12 days. 15 men started the same work and worked for 10 days, and then joined by ‘x’ more men such that the r...
P’s 4 days work is equal to Q’s 5 days work. If P and Q together can complete the work in 20 days then how much time Q will take to complete 40% of ...
It is given that 40% of the work completed by Lokesh is equal to 30% of the work completed by Meena. If Lokesh alone can complete the entire work in 28 ...
Karan, Arjun and Krunal alone can complete a work in 30, 45 and 36 days respectively. All of them started working together but after 3 days from start K...
A and B together can do a work in 5 days. If A can alone do the same work in 15 days, then in how many days B alone will do the same work?