## Mathematics TERM II

## Quadratic Equations

## Class 10 Session 2021-2022

## Case Study Questions 03

**Water Distribution System:** Delhi Jal Board (DJB) is the main body of the Delhi Government which supplies drinking water in the National Capital Territory of Delhi. Distribution system is well knit and properly planned. Maintenance of underground pipe and hose system is also performed at regular interval of time. Many rivers and canals are inter-connected in order to ensure un-interrupted water supply. It has been meeting the needs of potable water for more than 16 million people. It ensures availability of 50 gallons per capita per day of pure and filtered water with the help of efficient network of water treatment plants and pumping stations.

In our locality, DJB constructed two big reservoir labelled as Reservoir–A and Reservoir–B.**Reservoir–A:** In order to fill it, department uses two pipes of different diameter.**Reservoir–B:** Department uses two taps to store water in this reservoir.

**Refer to Reservoir-A**

1. Two pipes running together can fill the reservoir in 11`\frac{1}{9}` minutes. If one pipe takes 5 minutes more than the other to fill the reservoir, the time in which each pipe alone would fill the reservoir is

(a) 10 min, 12 min

(b) 25 min, 20 min

(c) 15 min, 18 min

(d) 22 min, 28 min

(b) 25 min, 20 min

2. Two pipes running together can fill a reservoir in 6 minutes. If one pipe takes 5 minutes more than the other to fill the reservoir, the time in which each pipe would fill the reservoir separately is

(a) 8 min, 6 min

(b) 10 min, 15 min

(c) 12 min, 16 min

(d) 16 min, 18 min

(b) 10 min, 15 min

**Refer to Reservoir-B**

3. Two water taps together can fill a reservoir in 9`\frac{3}{8}` hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the reservoir separately. The time in which each tap can separately fill the reservoir will be

(a) 15 hrs, 25 hrs

(b) 20 hrs, 22 hrs

(c) 14 hrs, 18 hrs

(d) 18 hrs, 16 hrs

(a) 15 hrs, 25 hrs

4. Two taps running together can fill the reservoir in 3`\frac{1}{13}` minutes. If one tap takes 3 minutes more than the other to fill it, how many minutes each tap would take to fill the reservoir?

(a) 12 min, 15 min

(b) 6 min, 9 min

(c) 18 min, 14 min

(d) 5 min, 8 min

(d) 5 min, 8 min

5. If two tapes function simultaneously, reservoir will be filled in 12 hours. One tap fills the reservoir 10 hours faster than the other. The time that the second tap takes to fill the reservoir is given by

(a) 25 hrs

(b) 28 hrs

(c) 30 hrs

(d) 32 hrs

(c) 30 hrs