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:

B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?

A) 30 B) 15
C) 20 D) 10
 
Answer & Explanation Answer: B) 15

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5 2006
Q:

A can finish a work in 18 days and B in 36 days. If they work on it together for 9 days, then what percent of work is left?

A) 33.3 B) 20
C) 75 D) 25
 
Answer & Explanation Answer: D) 25

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6 1978
Q:

45 men or 60 boys can do a piece of work in 20 days. How many days will 15 men and 20 boys take to complete the work?

A) 23 B) 45
C) 30 D) 25
 
Answer & Explanation Answer: C) 30

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2 1944
Q:

Chutki can bake 30 cakes in 15 hours. Chutki and Badki together can bake 90 cakes in 30 hours. How many cakes Badki can bake in 10 hours?

A) 75 B) 20
C) 10 D) 60
 
Answer & Explanation Answer: C) 10

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3 1925
Q:

One tap can fill a water tank in 50 mins and another tap can make the filled tank empty in 75 mins. If both the taps are open together, already half filled tank would be full in

A) 60 min B) 75 min
C) 125 min D) 150 min
 
Answer & Explanation Answer: B) 75 min

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1 1923
Q:

Murad can do a piece of work in 33 hours. If he is joined by Joel who is 100% more efficient, in what time will they together finish the work?

A) 4 hours B) 6 hours
C) 2 hours D) 11 hours
 
Answer & Explanation Answer: D) 11 hours

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0 1923
Q:

Painter A can paint a house in 40 days and Painter B can do it in 60 days. With help of C, they did the job in 20 days only. Then, C alone can do the job in

A) 120 days B) 100 days
C) 90 days D) 80 days
 
Answer & Explanation Answer: A) 120 days

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0 1910
Q:

A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is

A) 4 days B) 6 days
C) 8 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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6 1877