## 49th SSC CGL level Question Set, 4th on Time and Work problems in simpler steps

This is the 49th question set of 10 practice problem exercise for SSC CGL exam and 4th on Time and Work in simpler steps. Students must complete this question set in prescribed time first and then only refer to the corresponding solution set for extracting 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.

Before going through the solutions you should go through our sessions on * How to solve Time and work problems in simpler steps type-1* and

*for detailed explanation of the efficient time and work problem solving techniques that we will use for this present set of 10 problems.*

**How to solve more time and work problems in simpler steps type-2**### 49th question set- 10 problems for SSC CGL exam: 4th on Time and Work in simpler steps - time 15 mins

**Problem 1.**

A alone can complete a job in 20 days while A and B together can complete it in 12 days. If B does the work only half a day daily then how many days would they take to complete the job working together?

- 10 days
- 15 days
- 11 days
- 20 days

**Problem 2.**

A and B together can do a piece of work in 12 days which B and C can do together in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days B would finish the job working alone?

- 24 days
- 48 days
- 12 days
- 16 days

**Problem 3.**

If 90 men can do a certain job in 16 days working 12 hours a day, then the portion of the job that can be completed by 70 men working 8 hours day for 24 days is,

- $\displaystyle\frac{5}{8}$
- $\displaystyle\frac{1}{3}$
- $\displaystyle\frac{2}{3}$
- $\displaystyle\frac{7}{9}$

**Problem 4.**

A, B and C can do a job in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day alternately. How long would the work take to finish?

- $8\displaystyle\frac{4}{13}$ days
- $3\displaystyle\frac{9}{13}$ days
- $9\displaystyle\frac{3}{8}$ days
- $4\displaystyle\frac{3}{8}$ days

**Problem 5.**

A, B, and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B left 8 days and C six days before completion of the work. What was the duration of completion of the work?

- 14 days
- 9 days
- 10 days
- 12 days

#### Problem 6.

A can do one-fourth of a work in 10 days and B can do one-third of the work in 20 days. In how many days would A and B be able to complete the work while working together?

- 32 days
- 30 days
- 25 days
- 24 days

** Problem 7.**

A and B working separately can do a job in 9 and 15 days respectively. If they work for a day alternately, with A beginning, then the work will be completed in,

- 11 days
- 9 days
- 12 days
- 10 days

** Problem 8.**

A takes 3 times as long as B and C together take to complete a job. B takes 4 times as long as A and C together take to do the same job. If all three working together complete the job in 24 days, A alone can do it in,

- 100 days
- 90 days
- 95 days
- 96 days

**Problem 9.**

15 men take 20 days to complete a job working 8 hours a day. The number of hours a day should 20 men take to complete the job in 12 days will be,

- 5 hours
- 10 hours
- 18 hours
- 15 hours

** Problem 10.**

A and B can do a piece of work in 15 days. B and C together can do the same job in 12 days and C and A in 10 days. How many days will A take to complete the job?

- 8
- 13
- 24
- 40

### Answers to Questions

**Problem 1.** **Answer:** b: 15 days.

**Problem 2.** **Answer:** Option b : 48 days.

**Problem 3.** **Answer:** Option d: $\displaystyle\frac{7}{9}$.

**Problem 4.** **Answer:** c: $9\displaystyle\frac{3}{8}$ days.

**Problem 5.** **Answer:** Option d: 12 days.

**Problem 6.** **Answer:** Option d : 24 days.

**Problem 7.** **Answer:** Option a: 11 days.

**Problem 8.** **Answer:** Option d: 96 days.

**Problem 9.** **Answer:** Option b: 10 hours.

**Problem 10.** **Answer:** Option c: 24.

### Useful resources to refer to

#### Guidelines, Tutorials and Quick methods to solve Work Time problems

**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 a hard CAT level Time and Work problem in a few confident steps 3**

**How to solve a hard CAT level Time and Work problem in a few confident steps 2**

**How to solve a hard CAT level Time and Work problem in few confident steps 1**

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

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

**How to solve a GATE level long Work Time problem analytically in a few steps 1**

**How to solve difficult Work time problems in simpler steps, type 3**

#### SSC CGL Tier II level Work Time, Work wages and Pipes cisterns Question and solution sets

**SSC CGL Tier II level Solution set 26 on Time-work Work-wages 2**

**SSC CGL Tier II level Question set 26 on Time-work Work-wages 2**

**SSC CGL Tier II level Solution Set 10 on Time-work Work-wages Pipes-cisterns 1**

**SSC CGL Tier II level Question Set 10 on Time-work Work-wages Pipes-cisterns 1**

#### SSC CGL level Work time, Work wages and Pipes cisterns Question and solution sets

**SSC CGL level Solution Set 72 on Work time problems 7**

**SSC CGL level Question Set 72 on Work time problems 7**

**SSC CGL level Solution Set 67 on Time-work Work-wages Pipes-cisterns 6 **

**SSC CGL level Question Set 67 on Time-work Work-wages Pipes-cisterns 6**

**SSC CGL level Solution Set 66 on Time-Work Work-Wages Pipes-Cisterns 5**

**SSC CGL level Question Set 66 on Time-Work Work-Wages Pipes-Cisterns 5**

**SSC CGL level Solution Set 49 on Time and work in simpler steps 4**

**SSC CGL level Question Set 49 on Time and work in simpler steps 4**

**SSC CGL level Solution Set 48 on Time and work in simpler steps 3**

**SSC CGL level Question Set 48 on Time and work in simpler steps 3**

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

**SSC CGL level Question 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*

#### SSC CHSL level Solved question sets on Work time

**SSC CHSL Solved question set 2 Work time 2**

**SSC CHSL Solved question set 1 Work time 1**

#### Bank clerk level Solved question sets on Work time

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