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:

Mayank, Deepak and Pawan, each of them working alone can complete a work in 5, 10 and 15 days respectively. If all three of them work together to complete a work and earn Rs. 12000 what will be Deepak's share of the earnings?

A) Rs. 2000 B) Rs. 6000
C) Rs. 4000 D) Rs. 3000
 
Answer & Explanation Answer: C) Rs. 4000

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3 1537
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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1 1531
Q:

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

 

A) 18   B) 25  
C) 24   D) 21
 
Answer & Explanation Answer: B) 25  

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1 1531
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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1 1528
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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3 1526
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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1 1521
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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4 1511
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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