Time and Work Questions

FACTS  AND  FORMULAE  FOR  TIME  AND  WORK  QUESTIONS

 

 

1. If A can do a piece of work in n days, then A's 1 day's work =1n

2. If A’s 1 day's work =1n, then A can finish the work in n days.

 

3. A is thrice as good a workman as B, then:

Ratio of work done by A and B = 3 : 1.

Ratio of times taken by A and B to finish a work = 1 : 3.

 

NOTE : 

Efficiency1No of time units

 

 Efficiency × Time = Constant Work

 

Hence, Required time = WorkEfficiency

 

Whole work is always considered as 1, in terms of fraction and 100% , in terms of percentage.

In general, number of day's or hours = 100Efficiency

Q:

The labourers A, B, C were given a contract of Rs. 750 for doing a certain piece of work. All the three together can finish the work in 8 days. A and C together can do it in 12 day, while A and B together can do it in 13 1/3 days. The money will be divided in the ratio

A) 4:5:6 B) 4:7:5
C) 5:7:4 D) 5:6:8
 
Answer & Explanation Answer: A) 4:5:6

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Q:

Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?

A) 46 B) 51.75
C) 69 D) 103.5
 
Answer & Explanation Answer: C) 69

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Q:

X, Y and Z can do a piece of work in 30, 40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

A) 660/47 B) 640/47
C) 680/47 D) 665/47
 
Answer & Explanation Answer: A) 660/47

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Q:

A does 1/2 as much work as B and C does1/2as much work as A and B together. If C alone can finish the work in 40 days, then together all will finish the work in

A) 30 days B) 40/3 days
C) 15 days D) 16 days
 
Answer & Explanation Answer: B) 40/3 days

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Q:

A and B together do a job in 12 days and A could do the job in 20 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 30 B) 25
C) 24 D) 15
 
Answer & Explanation Answer: A) 30

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Q:

If A, B and C can do a job working alone in 12, 18 and 36 days respectively. They all work together for 2 day, then B quits. How many days will A and C take to finish rest of the job?

A) 9 B) 6
C) 3 D) 4
 
Answer & Explanation Answer: B) 6

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Q:

Smita can finish a work in 12 days and Sam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?

A) 2/9 B) 1/4
C) 1/2 D) 7/9
 
Answer & Explanation Answer: A) 2/9

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Q:

Akhilesh is two times as good a workman as Bansi and therefore is able to finish a job in 39 days less than Bansi. Working together, they can do it in

A) 13 days B) 24 days
C) 26 days D) 12 days
 
Answer & Explanation Answer: C) 26 days

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