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 man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

A) 45 B) 80
C) 120 D) 90
 
Answer & Explanation Answer: C) 120

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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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Q:

If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths?

A) 15 B) 20
C) 25 D) 40
 
Answer & Explanation Answer: C) 25

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Q:

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?

A) 32 days B) 28 days
C) 29 days D) 30 days
 
Answer & Explanation Answer: D) 30 days

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Q:

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

A) 17.28 B) 18
C) 19.44 D) 36
 
Answer & Explanation Answer: C) 19.44

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Q:

Anil can do a piece of work in 14 days which Rohit can do in 21 days. They worked together for few days after which Anil left. If Rohit worked alone for 3 days, find the total number of days it took to complete the whole work.

A) 31/5 B) 51/5
C) 21/5 D) 13/5
 
Answer & Explanation Answer: B) 51/5

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Q:

Working 10 hours a day, Aman can complete a piece of work in 18 days. How many hours a day should he work so as to finish the work in 15 days?

A) 10 B) 12
C) 16 D) 18
 
Answer & Explanation Answer: B) 12

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Q:

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?

A) 1.5 days B) 3 days
C) 6 days D) 9 days
 
Answer & Explanation Answer: C) 6 days

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