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:

Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

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

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Q:

G is twice as fast as S in doing work. If G can do a work in 30 days less than S, how many days will they take to complete the work together?

A) 25 B) 20
C) 22 D) 15
 
Answer & Explanation Answer: B) 20

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5 709
Q:

R is 80% more efficient than S. If S alone can make a book in 90 days, then R alone can make the book in how many days?

 

 

A) 65 B) 60
C) 50 D) 70
 
Answer & Explanation Answer: C) 50

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5 409
Q:

B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?

A) 30 B) 15
C) 20 D) 10
 
Answer & Explanation Answer: B) 15

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Q:

A does 75% of a work in 25 days. He then calls in B and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 50 days B) 80 days
C) 24 days D) 37.5 days
 
Answer & Explanation Answer: A) 50 days

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Q:

A is 50% more efficient than B. They together start the work and 7/12th of work is left after 8 days. Find in what time B alone will complete the whole work.

A) 36 days  B) 44 days 
C) 50 days  D) 40 days 
 
Answer & Explanation Answer:

Explanation:

Ratio of efficiency of A to B is 3 : 2

Let, In 8 days they complete = (3 + 2) × 8 = 40 units

So, total work = 40 × 12/5 units

Time taken by B alone to complete whole work = 40 ×  12/5 ×2 = 48 days 

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5 6983
Q:

P can do (1/4)th of work in 10 days, Q can do 40% of work in 40 days and R can do (1/3)rd of work in 13 days. Who will complete the work first?

A) P B) Q
C) R D) Both P and R
 
Answer & Explanation Answer: C) R

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Q:

Karteek is twice as good a foreman as Raju and together they finish a piece of work in 20 days. In how many days will Raju alone finish the work?

A) 40 B) 60
C) 80 D) 50
 
Answer & Explanation Answer: B) 60

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