## 26th SSC CGL tier II level Question Set, 2nd on Time and work problems

This is the 26th question set of 10 practice problem exercise for SSC CGL Tier II exam and the 2nd on Time and work problems. For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, techniques and deductive reasoning elaborated through the solutions in the corresponding solution set, one must solve many problems in a systematic manner using conceptual analytical approach. One can learn well only by practicing learning by doing.

### 26th question set - 10 problems for SSC CGL Tier II exam: 2nd on Time Work problems - time 15 mins

**Problem 1.**

In 16 days A can do 50% of a job. B can do one-fourth of the job in 24 days. In how many days can they do three-fourths of the job while working together?

- 21
- 9
- 18
- 24

#### Problem 2.

If each of them had worked alone, B would have taken 10 hours more than what A would have taken to complete a job. Working together, they can complete the job in 12 hours. How many hours B would take to do 50% of the job?

- 30
- 20
- 10
- 15

**Problem 3.**

Two workers P and Q are engaged to do a piece of work. Working alone P would take 8 hours more to complete the work than when working together. Working alone Q would take $4\frac{1}{2}$ hours more than when they work together. The time required to finish the work together is,

- 5 hours
- 6 hours
- 4 hours
- 8 hours

**Problem 4.**

A contractor employed 200 men to complete a certain work in 150 days. If only one-fourth of the work gets completed in 50 days, then how many more men the contractor must employ to complete the whole work in time?

- 100
- 300
- 200
- 600

**Problem 5.**

A, B and C are engaged to do a work for Rs.5290. A and B together are supposed to do $\displaystyle\frac{19}{23}$rd of the work and B and C together $\displaystyle\frac{8}{23}$rd of the work. Then A should be paid,

- Rs.4250
- Rs.3450
- Rs.2290
- Rs.1950

#### Problem 6.

Ruchi does $\displaystyle\frac{1}{4}$th of a job in 6 days and Bivas completes rest of the same job in 12 days. Then they together complete the job in,

- $9\frac{3}{5}$ days
- $9$ days
- $7\frac{1}{3}$ days
- $8\frac{1}{8}$ days.

** Problem 7.**

P and Q together can do a job in 6 days and Q and R finishes the same job in $\displaystyle\frac{60}{7}$ days. Starting the work alone P worked for 3 days. Then Q and R continued for 6 days to complete the work. What is the difference in days in which R and P can complete the job, each working alone?

- 15
- 8
- 12
- 10

** Problem 8.**

A man is twice as fast as a woman who is twice as fast as a boy in doing a piece of work. If one each of them work together and finish the work in 7 days, in how many days would a boy finish the work when working alone?

- 7
- 6
- 49
- 42

** Problem 9.**

While A can do a job working alone in 27 hours, B can do it in 54 hours also working alone. Find the share of C (in Rs.) if A, B and C get paid Rs.4320 for completing the job in 12 hours working together.

- 1440
- 960
- 1280
- 1920

** Problem 10.**

While A and B together finish a work in 15 days, A and C take 2 more days than B and C working together to finish the same work. If A, B and C complete the work in 8 days, in how many days would C complete it working alone?

- $20$ days
- $40$ days
- $24$ days
- $17\frac{1}{7}$ days

Refer to * SSC CGL Tier II level Solution Set 26 on Time-work Work-wages 2* for detailed solutions.

### Answers to the questions

**Problem 1.** Answer: c: 18 days.

**Problem 2.** Answer: d: 15.

**Problem 3.** Answer: b: 6 hours.

**Problem 4.** Answer: a: 100.

**Problem 5.** Answer: b: Rs.3450.

**Problem 6.** Answer: a: $9\frac{3}{5}$ days.

**Problem 7.** Answer: d: 10.

**Problem 8.** Answer: c: 49.

**Problem 9.** Answer: a: 1440.

**Problem 10.** Answer: d: $17\frac{1}{7}$ days.

### 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 **

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

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

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

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**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*

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