## 44th SSC CGL level Question Set, on topics Work-time, Pipes-cisterns and Speed-time-distance

This is the 44th question set of 10 practice problem exercise for SSC CGL exam on topics Work-time, Pipes-cisterns and Speed-time-distance. Students must complete this question set in prescribed time first and then only refer to the corresponding solution set for gaining maximum benefits from this resource.

In MCQ test, you need to deduce the answer in shortest possible time and select the right choice.

Based on our analysis and experience we have seen that, for accurate and quick answering, the student

- must have complete understanding of the basic concepts in the topic area
- is adequately fast in mental math calculation
- should try to solve each problem using the basic and rich concepts in the specific topic area and
- does most of the deductive reasoning and calculation in his or her head rather than on paper.

Actual problem solving is done in the fourth layer. You need to use **your problem solving abilities** to gain an edge in competition.

### 44th question set- 10 problems for SSC CGL exam: topics Work-time, Pipes-cisterns and Speed-time-distance - time 12 mins

**Problem 1.**

A man and a boy can complete a work together in 24 days. If the man alone does the work for the last six days then it is completed in 26 days. How long will the boy take to complete the work alone?

- 20 days
- 72 days
- 36 days
- 24 days

**Problem 2.**

Two men $M_1$ and $M_2$ can complete a piece of work in 12 days and 18 days respectively. $M_1$ begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in,

- $14\displaystyle\frac{1}{3}$ days
- $15\displaystyle\frac{2}{3}$ days
- $18\displaystyle\frac{2}{3}$ days
- $16\displaystyle\frac{1}{3}$ days

**Problem 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 the tank that will be filled up is,

- $\displaystyle\frac{1}{10}$
- $\displaystyle\frac{1}{5}$
- $\displaystyle\frac{2}{3}$
- $\displaystyle\frac{9}{10}$

**Problem 4.**

A boy and a girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes while the girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?

- 44 minutes
- 42 minutes
- 36 minutes
- 48 minutes

**Problem 5.**

You arrive at your school 5 minutes late if you walk at a speed of 4 km/hour. But if you walk at a speed of 5 km/hour you arrive 10 minutes before scheduled time. The distance of your school from your house (in km) is,

- 2
- 4
- 5
- 10

#### Problem 6.

A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance is equal to,

- $\displaystyle\frac{40}{3}$ minutes
- $40$ minutes
- $15$ minutes
- $20$ minutes

** Problem 7.**

Walking at three-fourth of his usual speed, a man covers a certain distance in 2 hours more than the time he takes to cover the same distance at his usual speed. The time taken by him to cover the distance at his usual speed is,

- 4.5 hours
- 5 hours
- 5.5 hours
- 6 hours

** Problem 8.**

In a river, the speed of current is 5 km/hour. A motorboat goes 10 km upstream and back again to the starting point in 50 minutes. The speed (in km/hour) of the motorboat in still water is,

- 20
- 25
- 26
- 28

**Problem 9.**

A person travels 600 km by train at 80km/hour, 800 km by ship at 40 km/hour, 500 km by aeroplane at 400 km/hour and 100 km by car at 50 km/hour. What is the average speed over the entire distance?

- $65\frac{5}{123}$ km/hr
- $60\frac{5}{123}$ km/hr
- $60$ km/hr
- $62$ km/hr

** Problem 10.**

A man goes from Delhi to Agra at a uniform speed of 40 km/hr and comes back to Delhi at a uniform speed of 60 km/hr. His average speed for the whole journey is,

- 55 km/hr
- 48 km/hr
- 50 km/hr
- 54 km/hr

### Answers to the questions

**Problem 1.** **Answer:** b: 72 days.

**Problem 2.** **Answer:** Option a : $14\frac{1}{3}$ days.

**Problem 3.** **Answer:** Option d: $\displaystyle\frac{9}{10}$.

**Problem 4. Answer:** d: 48 minutes.

**Problem 5.** **Answer:** Option c: 5 km.

**Problem 6.** **Answer:** Option a : $\displaystyle\frac{40}{3}$ minutes.

**Problem 7. Answer:** Option d: 6 hours.

**Problem 8.** **Answer:** Option b: 25.

**Problem 9.** **Answer:** Option a: $65\frac{5}{123}$ km/hr.

**Problem 10.** **Answer:** Option b: 48 km/hr.

### Useful resources to refer to

**7 steps for sure success in SSC CGL Tier 1 and Tier 2 competitive tests**

**How to solve Arithmetic problems on Work-time, Work-wages and Pipes-cisterns**

**Basic concepts on Arithmetic problems on Speed-time-distance Train-running Boat-rivers**

**How to solve Work-time problems in simpler steps type 1**

**How to solve Work-time problem in simpler steps type 2**

**SSC CGL level Solution Set 44 on Work-time Pipes-cisterns Speed-time-distance**

**SSC CGL level Solution Set 32 on work-time, work-wage, pipes-cisterns**

**SSC CGL level Question Set 32 on work-time, work-wages, pipes-cisterns**