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:

If 7 spiders make 7 webs in 7 days , then 1 spider will make 1 web in how many days ?

A) 1 B) 7/2
C) 7 D) 49
 
Answer & Explanation Answer: C) 7

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Q:

A and B undertake a piece of work for Rs. 250 . A alone can do that work in 5 days and B alone can do that work in 15 days . With the help of C, they finish the work in 3 days . If every one gets paid in proportion to work done by them, the amount C will get is 

A) Rs.50 B) Rs.100
C) Rs.150 D) Rs.200
 
Answer & Explanation Answer: A) Rs.50

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Q:

A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in:

A) 120 days B) 130 days
C) 150 days D) 100 days
 
Answer & Explanation Answer: A) 120 days

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Q:

A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in

A) 8 days B) 16 days
C) 30 days D) 32 days
 
Answer & Explanation Answer: B) 16 days

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Q:

A, B and C can do a job working alone in 6, 9 and 18 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to complete the remainder of the job?

A) 9 B) 6
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

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Q:

Manish, Mukesh and Sachin are Accountants. Mukesh can filea return in 5 hours and Sachin in 4 hours alone. All three together can do it in 2 hours. In what time (in hrs) will Manish do the work?

A) 15 B) 20
C) 17 D) 10
 
Answer & Explanation Answer: B) 20

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Q:

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

A) 70 seconds B) 50 seconds
C) 40 seconds D) 30 seconds
 
Answer & Explanation Answer: A) 70 seconds

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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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