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:

X is 25% more efficient than Y. If Y alone can make a chair in 10 days, then X alone can make the chair in how many days?

A) 8 B) 12
C) 12.5 D) 7.5
 
Answer & Explanation Answer: A) 8

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Q:

A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?

A) Rs.200 B) Rs.240
C) Rs.250 D) Rs.300
 
Answer & Explanation Answer: C) Rs.250

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Q:

Amal is 5 times as good a workman as Bhairav and therefore is able to finish a job in 48 days less than Bhairav. Working together, they can do it in

A) 20 days B) 5 days
C) 25 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

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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:

Some carpenters promised to do a job in 15 days but 3 of them were absent and remaining did the job in 20 days. What was the original number of carpenters?

A) 10 B) 15
C) 12 D) 14
 
Answer & Explanation Answer: C) 12

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Q:

Working 7 hours in a day, 4 men can do a piece of work in 8 days. Working 8 hours in a day, the required number of men to perform the same work in 4 days will be

A) 8 B) 4
C) 7 D) 9
 
Answer & Explanation Answer: C) 7

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Q:

A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in

A) 5 1/7 days B) 5 2/7 days
C) 6 1/7 days D) 6 2/7 days
 
Answer & Explanation Answer: A) 5 1/7 days

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Q:

A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?

A) 1/3 B) 1/2
C) 1/4 D) 1/5
 
Answer & Explanation Answer: B) 1/2

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