Model 2  Filling tank by parts or fractions Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 3 EXERCISES

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The following question based on pipes & cisterns topic of quantitative aptitude

Questions : Pipe A can fill the tank 3 times faster in comparison to pipe B. It takes 36 minutes for pipe A and B to fill the tank together. How much time will pipe B alone take to fill the tank?

(a) 100 minutes

(b) 124 minutes

(c) 134 minutes

(d) 144 minutes

e) 154 minutes

The correct answers to the above question in:

Answer: (d)

Let the time taken by pipe B be x minutes

So, the time taken by pipe A = x/3 minutes

Thus, 1/3 + 3/x = 1/36

⇒ 4/x = 1/36

⇒ x = 4×36

⇒ x = 144 minutes

Practice pipes & cisterns (Model 2  Filling tank by parts or fractions) Online Quiz

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Read more filling tank by parts or fractions Based Quantitative Aptitude Questions and Answers

Question : 1

20 buckets can fill a tank when the capacity of each bucket is 12 liters. If the capacity of each bucket is 10 liters, find the number of buckets required to fill the tank.

a) 30 buckets

b) 34 buckets

c) 24 buckets

d) 27 buckets

Answer: (c)

Capacity of each bucket = 12 liters

20 buckets can fill the tank. So, capacity of tank = 20 * 12= 240 liters

New capacity of bucket = 10 liters

So, 10 liters can be poured into the tank by one bucket

240 liters will be poured by $1/10$ x 240 = 24 buckets

Question : 2

If $3/5$ th of a cistern is filled in 1 minute, the time needed to fill the rest is

a) 36 sec

b) 40 sec

c) 24 sec

d) 30 sec

Answer: (b)

Time taken to fill the $3/5$ of the cistern = 60 seconds

Time taken in filling $2/5$ part

= ${60 × 5}/3 × 2/5$ = 40 seconds

Question : 3

There are two pumps to fill a tank with water. First pump can fill the empty tank in 8 hours, while the second in 10 hours. If both the pumps are opened at the same time and kept open for 4 hours, the part of tank that will be filled up is :

a) $2/5$

b) $9/10$

c) $1/54$

d) $1/10$

Answer: (b)

Using Rule 1
Two taps 'A' and 'B' can fill a tank in 'x' hours and 'y' hours respectively. If both the taps are opened together, then how much time it will take to fill the tank?Required time = $({xy}/{x + y})$ hrs

Part of the tank filled in an hour by both pumps

= $1/8 + 1/10 = {5 + 4}/40 = 9/40$

Part of the tank filled in 4 hours

= ${4 × 9}/40 = 9/10$

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