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:

Painter 'A' can paint a house in 10 days and 'B' can do it in 20 days. With help of 'C', they did the job in 5 days only. Then, 'C' alone can do the job in:

A) 20 days B) 10 days
C) 40 days D) 50 days
 
Answer & Explanation Answer: A) 20 days

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: Bank Exams

0 2435
Q:

A is thrice as productive as C. Together they can complete a job in 22.5 days. If B joins them after they have worked for 15 days then in how many days can they finish the rest of the job if B alone can do the job in 15 days?

A) 6 B) 3
C) 9 D) 2
 
Answer & Explanation Answer: B) 3

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: Bank Exams

1 2405
Q:

S, T and U together can complete a work in 30 days. If the ratio of efficiency of S, T and U is 20 : 15 : 12 respectively, then in how many days U alone can complete the same work?

A) 195/2 B) 235/2
C) 225/2 D) 215/2
 
Answer & Explanation Answer: B) 235/2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: Bank Exams

7 2385
Q:

Rohan and Mohit together can build a wall in 8 days. Mohit and Vikas build the same wall in 10 days and Vikas and Rohan can build the same wall in 12days. In how many days can all the three complete the same wall while working together?

A) 240/37 B) 120/37
C) 150/37 D) 180/37
 
Answer & Explanation Answer: A) 240/37

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: Bank Exams

0 2374
Q:

M is thrice as good as workman as N and together they finish a piece of work in 30 days. In how many days will M alone finish the work?

A) 50 B) 40
C) 60 D) 45
 
Answer & Explanation Answer: B) 40

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: Bank Exams

1 2370
Q:

Ranjith can complete a task in 25 days while Anji can finish it in 20 days. They work together on the task for 5 days and then Ranjith leaves. In how many days will Anji finish the remaining work?

A) 15 days B) 10 days
C) 11 days D) 9 days
 
Answer & Explanation Answer: C) 11 days

Explanation:

Lcm of 25 and 20 is 100. So total work = 100 units
Ranjith can do 4 units per day while anju can do 5 units per day
They together complete 5 days of work i.e 9 x 5 = 45 units
The remaining 55 units of work is done by anju in 55/5 days (or) 11 days

Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

2 2359
Q:

Prabhat has done 1/2 of a job in 12 days. Santosh completes the rest of the job in 6 days. In how many days can they together do the job?

A) 12 days B) 4 days
C) 8 days D) 16 days
 
Answer & Explanation Answer: C) 8 days

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE

2 2338
Q:

Amar can complete a work in 30 days and Raman can complete the same work in 15 days. If both of them work together, then in 4 days what percent of the total work will be completed?

A) 15 B) 37
C) 40 D) 45
 
Answer & Explanation Answer: C) 40

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: Bank Exams

2 2330