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:

Working alone A can do the task in 27 hours and B can do it in 54 hours. Find C's share (in Rs) if A, B and C get paid Rs 4,320 for completing a task in 12 hours on which they worked together.

A) 1440 B) 960
C) 1920 D) 1280
 
Answer & Explanation Answer: A) 1440

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Q:

A can paint a house in 25 days and B can do it in 10 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) 50 B) 40
C) 30 D) 60
 
Answer & Explanation Answer: A) 50

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Q:

A, B and C can complete the work in 4, 5 and 6 hours respectively. If they all work together and receive Rs. 777 as wages then find the share of A.

A) Rs. 300 B) Rs. 315
C) Rs. 326 D) Rs. 175
 
Answer & Explanation Answer: B) Rs. 315

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Q:

A can finish a work in 7 days . B can finish the same work in 9 days . The days required to finish the work by both of them together.

A) 31/16 B) 47/16
C) 63/16 D) 79/16
 
Answer & Explanation Answer: C) 63/16

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Q:

A, B and C can do a job working alone in 50, 75 and 20 days respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?

A) 20 B) 30
C) 18 D) 24
 
Answer & Explanation Answer: A) 20

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Q:

Amit can complete a work in 25 days and Punit can complete the same work in 20 days. Punit alone worked at it for 10 days and then left the work. In how many days will Amit alone complete the remaining work?

A) 10.5 B) 11.5
C) 12.5 D) 13.5
 
Answer & Explanation Answer: C) 12.5

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Q:

A and B can complete a task in 12 days. However, A had to leave a few days before the task was completed and hence it took 16 days in all to complete the task. If A alone could complete the work in 21 days, how many days before the work getting over did A leave?

A) 7 B) 5
C) 9 D) 3
 
Answer & Explanation Answer: A) 7

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Q:

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in _____.

A) 15 days B) 60 days
C) 20 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

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