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:

A can do a piece of work in 8 days and B can do it in 10 days seperately. How many days would it take for both A and B to finish the same work together?

A) 33/8 B) 40/9
C) 41/10 D) 42/11
 
Answer & Explanation Answer: B) 40/9

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Q:

A, B and C can do a job working alone in 12, 16 and 24 days respectively. In how many days they can do the job if they worked together?

A) 16/3 B) 15/4
C) 17/3 D) 19/4
 
Answer & Explanation Answer: A) 16/3

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Q:

A and B together can do a piece of work in 10 days. If A can do the work in 15 days, find in how many days that B alone can do the same work. Given below are the steps involved in solving the above problem. Arrange them in sequential order.

 

A) One day's work of B is 1/10 - 1/15

B) One day's work of A and B is 1/10 and One day's work of A is 1/15

C) B alone can do the work in 30 days

D) One day's work of B is 1/30

 

A) BADC B) ADCB
C) BCAD D) BDAC
 
Answer & Explanation Answer: A) BADC

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Q:

Munni can bake 70 cakes in 7 hours, Munni and Guddi together can bake 90 cakes in 6 hours. How many cakes Guddi can bake in 10 hours?

A) 100 B) 50
C) 125 D) 25
 
Answer & Explanation Answer: B) 50

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Q:

A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in

A) 12 days B) 13 days
C) 16 days D) 26 days
 
Answer & Explanation Answer: C) 16 days

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Q:

P and Q together can make a door in 12 days. They started the work together but after 8 days P left the work. The remaining work is completed by Q alone in 7 more days. In how many days can P alone complete the entire work?

A) 21 B) 24
C) 28 D) 32
 
Answer & Explanation Answer: C) 28

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Q:

If a young son works quickly for 2 hours and prepares 16 items in a day, and his old father works slowly for 8 hours and prepares 24 items in a day, which of the following is true?

A) The son has more energy B) Both have equal energy
C) The son has more power D) Both have equal power
 
Answer & Explanation Answer: C) The son has more power

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Q:

Working together P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

A) 32 days B) 40 days
C) 45 days D) 60 days
 
Answer & Explanation Answer: B) 40 days

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