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:

Two labourers A and B are paid a total of Rs. 750 per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is B paid?

A) 450 B) 250
C) 300 D) 500
 
Answer & Explanation Answer: C) 300

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Q:

Ganesh, Ram and Sohan together can complete a work in 16 days. If Ganesh and Ram together can complete the same work in 24 days. The number of days Sohan alone takes, to finish the work is

A) 40 B) 48
C) 32 D) 30
 
Answer & Explanation Answer: B) 48

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Q:

A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?

A) Rs.200 B) Rs.240
C) Rs.250 D) Rs.300
 
Answer & Explanation Answer: C) Rs.250

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Q:

A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B and C finish it, working all together?

A) 6 days B) 5 1/4 days
C) 4 4/11 days D) 4 days
 
Answer & Explanation Answer: D) 4 days

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Q:

A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: A) 3

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Q:

A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in

A) 5 1/7 days B) 5 2/7 days
C) 6 1/7 days D) 6 2/7 days
 
Answer & Explanation Answer: A) 5 1/7 days

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Q:

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

A) 100 B) 120
C) 90 D) 150
 
Answer & Explanation Answer: B) 120

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Q:

A can do a work in 36 days and B in 12 days. If they work on it together, then in how many days will they be able to do the work?

A) 8 B) 6
C) 10 D) 9
 
Answer & Explanation Answer: D) 9

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