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:

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

A) 40 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: C) 20

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Q:

A can make a cupboard in 10 days and B can do it in 50 days. Along with C, they did the job in 6.25 days only. Then in how many days C alone can do the job?

A) 20 B) 25
C) 16 D) 15
 
Answer & Explanation Answer: B) 25

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Q:

B is thrice as efficient as A and C is 0.75 times as efficient as A. What is the ratio of number of days taken by A, B and C when they work individually?

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

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Q:

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

A) 70 seconds B) 50 seconds
C) 40 seconds D) 30 seconds
 
Answer & Explanation Answer: A) 70 seconds

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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:

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:

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.

 

A) 30 days B) 25 1/2 days
C) 26 2/3 days D) 26 1/5 days
 
Answer & Explanation Answer: C) 26 2/3 days

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Q:

A can do 1/3rd of a work in 5 days and B can do 2/5th of this work in 10 days. Both A and B, together can do the work in

A) 7 3/8 days B) 8 4/5 days
C) 9 3/8 days D) 10 days
 
Answer & Explanation Answer: C) 9 3/8 days

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