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:

Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

A) 25 B) 50
C) 30 D) 75
 
Answer & Explanation Answer: B) 50

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1 1813
Q:

X can complete a task in 8 days, whereas Y can complete the same task in 10 days. If they work together, in how many days will the task be completed?

A) 40/9 B) 9/40
C) 44/9 D) 9/44
 
Answer & Explanation Answer: A) 40/9

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1 1801
Q:

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. C can alone do the work in

A) 5 days B) 6 days
C) 10 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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0 1795
Q:

Ajit is two times as good a workman as Badrinath and therefore is able to finish a job in 30 days less than Badrinath. Working together, they can do it in

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

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2 1791
Q:

Akhilesh is two times as good a workman as Bansi and therefore is able to finish a job in 39 days less than Bansi. Working together, they can do it in

A) 13 days B) 24 days
C) 26 days D) 12 days
 
Answer & Explanation Answer: C) 26 days

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1 1790
Q:

If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry
taught?

A) 136 B) 184
C) 216 D) 232
 
Answer & Explanation Answer: D) 232

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1 1774
Q:

A and B together can complete a work in 24 days. B alone does 1/3rd part ofthis work in 12 days. How many days will A alone take to complete the remaining work?

A) 24 B) 36
C) 48 D) 72
 
Answer & Explanation Answer: C) 48

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1 1771
Q:

A can do a work in 20 days and B in 10 days. If they work on it together for 5 days, then what fraction of work is left.

A) 4/9 B) 1/4
C) 1/5 D) 2/9
 
Answer & Explanation Answer: B) 1/4

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