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:

Mehdi can complete a work in 25 hours. If he is joined by Jahnavi who is 50% more efficient, in what time will they together finish the work?

A) 12 hours B) 10 hours
C) 3 hours D) 9 hours
 
Answer & Explanation Answer: B) 10 hours

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3 2056
Q:

A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest work in 14 days. A alone can complete the work in _____.

A) 24 days B) 22 days
C) 20 days D) 18 days
 
Answer & Explanation Answer: A) 24 days

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1 2053
Q:

A can do 1/3rd of a job in 3 days and B can do half of the job in 9 days. If they work on it together, then in how many days can they finish half of the job?

A) 4 B) 5
C) 6 D) 3
 
Answer & Explanation Answer: D) 3

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3 2050
Q:

Mandeep works 3 times as fast as Sampat. If Sampat can complete a job alone in 60 days, then in how many days can they together finish the job?

A) 7 days B) 4 days
C) 5 days D) 15 days
 
Answer & Explanation Answer: D) 15 days

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1 2044
Q:

X and Y undertook to do a piece of work for Rs 5400. X alone could do this work in 18 days and Y alone could do this work in 24 days. With the assistance of Z they finished the work in 8 days. What is the share (in Rs) of Z?

 

A) 1200 B) 1500
C) 1600 D) 1800
 
Answer & Explanation Answer: A) 1200

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1 2029
Q:

A school has 8 periods of 45 minutes each, every day. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

A) 40 min B) 35 min
C) 30 min D) 45 min
 
Answer & Explanation Answer: A) 40 min

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1 2028
Q:

If A, B and C can do a job working alone in 12, 18 and 36 days respectively. They all work together for 2 day, then B quits. How many days will A and C take to finish rest of the job?

A) 9 B) 6
C) 3 D) 4
 
Answer & Explanation Answer: B) 6

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4 2026
Q:

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is

A) 20 days B) 21 days
C) 22 days D) 24 days
 
Answer & Explanation Answer: D) 24 days

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0 2024