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:

Rashika can do a work in 5 days. Rashmi can do the same work in 7 days. Both of them finish the work together and they get Rs 240 for the work. What isthe share (in Rs) of Rashika?

 

A) 120 B) 100
C) 140 D) 160
 
Answer & Explanation Answer: C) 140

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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:

Some masons promised to do a work in 10 days but 8 of them were absent and remaining did the work in 18 days. What was the original number of masons?

 

A) 10 B) 21
C) 15 D) 18
 
Answer & Explanation Answer: D) 18

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Q:

Rahul can complete a work in 18 days and Sonu can complete the same work in 15 days. If both together work for 5 days, then what part of total work is left?

 

A) 7/15 B) 11/18
C) 7/18 D) 8/15
 
Answer & Explanation Answer: C) 7/18

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Q:

30 men working 5 hours a day can do a task in 16 days. In how many days will 40 men working 6 hours a day do the same task?

A) 12 days B) 10 days
C) 15 days D) 18 days
 
Answer & Explanation Answer: B) 10 days

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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:

U, V and W together can make a chair in 20 minutes. U and V together can make it in 25 minutes. How much time will (in minutes) W alone take to make the chair?

 

A) 100   B) 90
C) 60 D) 120
 
Answer & Explanation Answer: A) 100  

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Q:

A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

A) 1/4 B) 2/9
C) 1/5 D) 3/10
 
Answer & Explanation Answer: D) 3/10

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