There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4th hour, tap B is a

Tap A can fill the tank in $25$ hrs.

Tap B cab fill the tank in $20$ hrs.

Tap C can fill the tank in $10$ hrs.

Total volume of the tank filled by $3$ pipes = LCM of $(25, 20, 10) = 100$ units

⇒ Pipe A can fill $4$ units of water in $1$ hr.

⇒ Pipe B can fill $5$ units of water in $1$ hr.

⇒ Pipe C can fill $10$ units of water in $1$ hr.

⇒ Pipe $(A + B + C)$ can fill $19$ units of water in $1$ hr.

According to question,

Pipe $(A + B + C)$ are opened for $1$ hr, then tap $C$ is closed.

⇒ $19$ units of water are filled in the tank.

After 4^th hr, tap B is also closed

⇒ for $3$ hrs, pipe A and B are open

⇒ $(4 + 5) × 3 = 27$ units of water are filled.

⇒ $100 - (19 + 27) = 54$ units of water are filled by tap A alone.

Total units of water filled by tap A is $4 × 1 + 4 × 3 + 54 = 4 + 12 + 54 = 70$ units

Thanks

• The ratio of the sum of the salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest then w
• Direction: There are nine members in a family. There are three married couple. A who is married to B does not have any son like G. G is the only sibling of I who is son in law of B. F is married to brother of H’s husband. G is father of E and D. A i
• Directions: In a family of eight members, there are two married couples and a widow. B, an engineer is married to a doctor. D, an architect is the wife of C. F, a student is the only child of D. H is the son of G and his sister E is the niece of the manag
• Two types of rice (type 1 and type 2) were mixed in the respective ratio of 1 : 3. The mixture was then sold @ 75.60 per kg to gain a profit of 20%. If the price of type 1 rice is Rs. 75 per kg, what is the price of type 2 price per kg?
• Directions: In a family of eight members, there are two married couples and a widow. B, an engineer is married to a doctor. D, an architect is the wife of C. F, a student is the only child of D. H is the son of G and his sister E is the niece of the manag