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:

A and B together can do a piece of work in 10 days. If A can do the work in 15 days, find in how many days that B alone can do the same work. Given below are the steps involved in solving the above problem. Arrange them in sequential order.

 

A) One day's work of B is 1/10 - 1/15

B) One day's work of A and B is 1/10 and One day's work of A is 1/15

C) B alone can do the work in 30 days

D) One day's work of B is 1/30

 

A) BADC B) ADCB
C) BCAD D) BDAC
 
Answer & Explanation Answer: A) BADC

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Q:

A work can be completed by 18 boys in 24 days. If 6 boys leave after working for 12 days, then how many days will be needed to complete the remaining work?

 

A) 12 B) 15
C) 18 D) 24
 
Answer & Explanation Answer: C) 18

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Q:

Karteek is twice as good a foreman as Raju and together they finish a piece of work in 20 days. In how many days will Raju alone finish the work?

A) 40 B) 60
C) 80 D) 50
 
Answer & Explanation Answer: B) 60

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Q:

If 7 spiders make 7 webs in 7 days , then 1 spider will make 1 web in how many days ?

A) 1 B) 7/2
C) 7 D) 49
 
Answer & Explanation Answer: C) 7

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Q:

A man engaged a servant on a condition that he would pay him Rs. 80 and a pair of jeans after service of one year. Servant served for only 9 months and receives a pair of jeans and an amount of Rs. 55. The price of the jeans is ________.

 

A) Rs. 80   B) Rs. 60
C) Rs. 40 D) Rs. 20
 
Answer & Explanation Answer: D) Rs. 20

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Q:

Some masons promised to do a work in 10 days but 8 of them were absent and remaining did the work in 18 days. What was the original number of masons?

 

A) 10 B) 21
C) 15 D) 18
 
Answer & Explanation Answer: D) 18

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Q:

A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

A) 1/4 B) 2/9
C) 1/5 D) 3/10
 
Answer & Explanation Answer: D) 3/10

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Q:

Atul and Binay together complete a piece of work in 5 days. If Binay alone can complete the same work in 8 days, how many days Atul take to complete the same work alone?

A) 40/3 days B) 20/3 days
C) 9 days D) 10 days
 
Answer & Explanation Answer: A) 40/3 days

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