# two pipes a and b can fill a cistern in 10 hours and 12 hours respectively and another two pipes c and d can empty a cistern in 6 hours and 5 hours respectively, find the time taken by them to empty half the cistern if all the pipes are operated simultaneously.

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get two pipes a and b can fill a cistern in 10 hours and 12 hours respectively and another two pipes c and d can empty a cistern in 6 hours and 5 hours respectively, find the time taken by them to empty half the cistern if all the pipes are operated simultaneously. from screen.

## Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

Click here👆to get an answer to your question ✍️ Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

Question

## Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

**A**

## 1 hour

**B**

## 2 hours

**C**

## 6 hours

**D**

## 8 hours

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Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is C)

Let the cistern be filled by pipe A alone in x hours.Then, pipe B will fit it in (x+6) hours.

∴ x 1 + (x+6) 1 = 4 1 ⇒ x(x+6) x+6+x = 4 1 ⇒x 2 −2x−24=0 ⇒(x−6)(x+4)=0

⇒x=6. [neglecting the negative value of x]

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## [Solved] Two pipes A and B can fill an empty tank in 10 hours and 16

Given: Pipe A fills the empty tank in 10 hours Pipe B fills the empty tank in 16 hours Concept Used: Total work = LCM of time taken by each pipe Calculatio

Home Quantitative Aptitude Time and Work Pipe and Cistern

## Question

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## Two pipes A and B can fill an empty tank in 10 hours and 16 hours respectively. They are opened alternately for 1 hour each, opening pipe B first, in how many hours, will the empty tank be filled?

This question was previously asked in

SSC CGL 2020 Tier-I Official Paper 14 (Held On : 20 Aug 2021 Shift 2)

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1425 1625 1025 1225

## Answer (Detailed Solution Below)

Option 4 : 1225

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## Detailed Solution

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**Given:**

Pipe A fills the empty tank in 10 hours

Pipe B fills the empty tank in 16 hours

**Concept Used:**

Total work = LCM of time taken by each pipe

**Calculation:**

LCM of 16 and 10 = 80

Let total work be 80 units

Pipe A does = 80/10 = 8 units per hour

Pipe B does = 80/16 = 5 units per hour

Now,

Pipe B & A fill the tank in two hour

⇒ (5 + 8) units ⇒ 13 units Now,

Each B & A will keep filling the tank for = (80/13) ≈ 6 hours

After (6 × 2) = 12 hours, the tank will be filled by (13 × 6) = 78 units.

2 units are yet to be filled

On, 13th hour B will be opened.

It will take 2/5 hour for B to fill the remaining tank entirely.

Total time = 12 + 2/5 =

∴ The empty tank will be filled in1225 hours 1225 **hours.**

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## More Pipe and Cistern Questions

**Q1.**Pipe A can fill 50% of a tank in 4 hours and pipe B can completely fill the same tank in 12 hours. If both the pipes are opened at the same time, then in how much time will the empty tank be completely filled?

**Q2.**A pool has 3 taps. The first tap takes 3 days, the second tap takes 2 days, and the third tap takes 18 hours, to fill the pool. All the three taps are opened together. After 8 hours, the second tap is closed. The total time to fill the pool completely will be:

**Q3.**Pipes A and B can fill a tank in 9 hours and 15 hours, respectively. Both pipes were opened at the same time. After some time, it was found that there was a leak at the bottom of the tank which was capable of emptying the fully filled tank in

2212

hours. It was then repaired. If the tank got filled in a total time of 6 hours, then after how much time was the leakage repaired?

**Q4.**A tank has n pipes attached to it, out of which 2 are outlet pipes and the rest are inlet pipes. Each inlet pipe can fill a tank in 10 hours and each outlet pipe can empty the full tank in 15 hours. When all the pipes are opened together then 91

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% part of the tank is filled in 2

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hours. What is the value of n?

**Q5.**Pipes A, B and C can fill a tank in 20, 30 and 60 hours, respectively. Pipes A, B and C are opened at 7 a.m., 8 a.m., and 9 a.m., respectively, on the same day. When will the tank be full?

**Q6.**Two pipes A and B can fill a tank in 12 minutes and 24 minutes, respectively, while a third pipe C can empty the full tank in 32 minutes. All the three pipes are opened simultaneously. However, pipe C is closed 2 minutes before the tank is filled. In how much time (in minutes) will the tank be full?

**Q7.**If a water tank is filled

47

part in 8 hours, then what time will be taken in filling the half of the tank?

**Q8.**Two pipes A and B can fill a cistern in

1212

hours and 25 hours, respectively. The pipes were opened simultaneously, and it was found that, due to leakage in the bottom, it took one hour 40 minutes more to fill the cistern. If the cistern is full, in how much time (in hours) will the leak alone empty 70% of the cistern?

**Q9.**Pipes A and B are filling pipes whereas pipe C is an emptying pipe. Pipes A and B together can fill a tank in 30 hours. A, B and C together takes 33

13

% more time than what A and B together take to fill the tank. How much time (in hours) will C alone take to empty the full tank?

## Two pipes X and Y can fill a cistern in 6 hours and 10 hours respectively. Pipe Z can empty the tank in 4 hours. If all the three pipes are open then in how many hours the cistern will be full?

Two pipes X and Y can fill a cistern in 6 hours and 10 hours respectively. Pipe Z can empty the tank in 4 hours. If all the three pipes are open then in how m

Home > English > Class 14 > Maths > Chapter >

Previous Year Paper 2016 21 Sept 2017 Shift 1

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Two pipes X and Y can fill a c...

Two pipes X and Y can fill a cistern in 6 hours and 10 hours respectively. Pipe Z can empty the tank in 4 hours. If all the three pipes are open then in how many hours the cistern will be full?

Updated On: 27-06-2022

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Text Solution Open Answer in App A 30 B 45 C 50 D 60 Answer

The correct Answer is D

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दो पाइप U तथा V किसी टंकी को क्रमश 12 घंटे तथा 20 घंटे में भर सकती है पाइप W भरी टंकी को 8 घंटे में खली कर सकता है यदि तीन पाइपों को एक साथ खोल दिया जाये तो कितने घंटो में टंकी पूरी भर जाएगी

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Guys, does anyone know the answer?