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:

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

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Q:

A can paint a house in 45 days and B can do it in 15 days. Along with C, they did the job in 5 days only. Then, C alone can do the job in how many days?

A) 12 B) 9
C) 15 D) 8
 
Answer & Explanation Answer: B) 9

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Q:

Azhar is 4 times as good a workman as Balaraj and therefore is able to finish a job in 45 days less than Balaraj. Working together, they can do it in:

A) 6 days B) 18 days
C) 24 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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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:

Type 1 workers are 2.5 times as efficient as type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 15 Type 2 workers to do the same work?

 

A) 13 B) 10
C) 12 D) 11
 
Answer & Explanation Answer: D) 11

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Q:

Madhur works 2 times faster than Sagar. If Sagar can complete a job alone in 18 days, then in how many days can they together finish the job?

A) 5 days B) 2 days
C) 6 days D) 4 days
 
Answer & Explanation Answer: C) 6 days

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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 can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?

A) 24 B) 44
C) 33 D) 20
 
Answer & Explanation Answer: D) 20

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