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:

Badki can bake 45 cakes in 9 hours, Badki and Chutki together can bake 80 cakes in 10 hours. How many cakes Chutki can bake in 40 hours?

A) 125 B) 10
C) 120 D) 20
 
Answer & Explanation Answer: C) 120

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0 2062
Q:

Sumit is 28% less efficient than Amit. If Amit can make a wall in 54 days, then Sumit can complete the same work in how many days?

 

A) 75 B) 70
C) 72 D) 76
 
Answer & Explanation Answer: A) 75

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1 2061
Q:

A and B can do a piece of work in 24 and 30 daysrespectively. Both started the work and worked for 6 days.Then B leaves the work and C joins and the remaining workis completed by A and C together in 11 days. Find the days in which C alone can do the work

A) 80 B) 100
C) 120 D) 130
 
Answer & Explanation Answer: C) 120

Explanation:

(1/24 + 1/30) x 6 + (1/24 + 1/C) x 11 = 1

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0 2060
Q:

Mahanath works 2 times as fast as Sahay. If Sahay can complete a job alone in 21 days, then in how many days can they together finish the job?

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

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0 2058
Q:

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

A) 9 days B) 27 days
C) 36 days D) 18 days
 
Answer & Explanation Answer: D) 18 days

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1 2057
Q:

If 10 people can do a job in 20 days,then 20 people with twice the efficiency can do the same job in

A) 5 days B) 10 days
C) 20 days D) 40 days
 
Answer & Explanation Answer: A) 5 days

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4 2050
Q:

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

A) 10 5/24 days B) 4 4/5 days
C) 6 8/15 days D) 12 6/19 days
 
Answer & Explanation Answer: A) 10 5/24 days

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0 2040
Q:

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is

A) 20 B) 35
C) 30 D) 25
 
Answer & Explanation Answer: D) 25

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2 2032