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:

Rohit crosses a 700 metres wide road in 35 seconds. What is his speed (in km/hr)?

 

A) 54 B) 76
C) 72 D) 84
 
Answer & Explanation Answer: C) 72

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Q:

Ram is thrice as fast as Mohan and Nohan is twice as fast as Sohan. The distance covered by Sohan in 42 minutes will be covered by Mohan in

 

A) 18 min B) 21 min
C) 20 min D) 22 min
 
Answer & Explanation Answer: B) 21 min

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Q:

In a factory, 60 workers can stitch 120 m of clothes in 7 days, what length of clothes can be stitched by 70 workers in 5 days?

 

A) 100 m B) 90 m
C) 85 m D) 110 m
 
Answer & Explanation Answer: A) 100 m

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Q:

P can do a piece of work in 60 days & Q can do the same work in 50 days. Find the ratio of working efficiencies of P to Q.

 

A) 1/3 B) 6/5
C) 5/6 D) 4/5
 
Answer & Explanation Answer: C) 5/6

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Q:

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

A) 40 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: C) 20

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Q:

Some girls can do a piece of work in 18 days. In how much time (in days) two times the number of such girls will complete thrice of the work?

 

A) 12 B) 27
C) 21 D) 24
 
Answer & Explanation Answer: B) 27

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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:

4 men can build a small house in 12 days. How long would it take for 6 men to build the same house?

A) 9 days B) 8 days
C) 8.1 days D) 8.2 days
 
Answer & Explanation Answer: B) 8 days

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