121. Two men can do a piece of work in x days. But y women can do that in 3 days. Then the ratio of the work done by 1 man and 1 woman is

1. 1. 3y : 2x

   
   
   

   2. 2x : 3y

   
   
   

   3. x : y

   
   
   

   4. 2y : 3x

   
   
   

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1. View Hint View Answer Discuss in Forum

   1 man’s 1 day’s work =	1
   	2x

   
   

   1 woman’s 1 day’s work =	1
   	3y

   
   ∴ Required ratio
   

   =	1	:	1	= 3y : 2x
   	2x		3y

   Correct Option: A

   1 man’s 1 day’s work =	1
   	2x

   
   

   1 woman’s 1 day’s work =	1
   	3y

   
   ∴ Required ratio
   

   =	1	:	1	= 3y : 2x
   	2x		3y

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122. A man and a woman working together can do a certain work in 18 days. Their skills in doing the work are in the ratio 3 : 2.
     How many days will the woman take to finish the work alone?

1. 1. 45 days

   
   
   

   2. 36 days

   
   
   

   3. 27 days

   
   
   

   4. 30 days

   
   
   

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1. View Hint View Answer Discuss in Forum

   Man : Woman (efficiency)
   i.e., Woman completes 2/5 th work in 18 days.
   ∴ Time taken by the woman to complete the whole work
   

   =	18 × 5	= 45 days
   	2

   Correct Option: A

   Man : Woman (efficiency)
   i.e., Woman completes 2/5 th work in 18 days.
   ∴ Time taken by the woman to complete the whole work
   

   =	18 × 5	= 45 days
   	2

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123. Twenty women together can complete a work in 16 days. 16 men together can complete the same work in 15 days. The ratio of the working capacity of a man to that of a woman is :

1. 1. 3 : 4

   
   
   

   2. 4 : 3

   
   
   

   3. 5 : 3

   
   
   

   4. 4 : 5

   
   
   

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1. View Hint View Answer Discuss in Forum

   20 × 16 women ≡ 16 × 15 men
   ⇒ 4 women ≡ 3 men
   

   ⇒	men	=	4
   	women		3

   
   Hence, working capacity of man : woman = 4 : 3

   Correct Option: B

   20 × 16 women ≡ 16 × 15 men
   ⇒ 4 women ≡ 3 men
   

   ⇒	men	=	4
   	women		3

   
   Hence, working capacity of man : woman = 4 : 3

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124. A contractor undertakes to make a road in 40 days and employs 25 men. After 24 days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work 4 days earlier?

1. 1. 100

   
   
   

   2. 60

   
   
   

   3. 75

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Scheduled time to complete the work = 40 days
   

   25 men in 24 days do	1	work
   	3

   
   ∴ 1 man in 1 day does
   

   	1	=	1	work.
   	3 × 25 × 24		1800

   
   Work remaining
   

   = 1 -	1	=	2
   	3		3

   
   The work is to be completed 4 days before schedule i.e., in (40 – 4) 36 days
   

   No. of days left for	2	rd work
   	3

   
   = 36 – 24 = 12 days
   

   	1
   	1800

   
   work is done in 1 day by 1 man.
   

   ∴	2	work will be done in 12 days by
   	3

   
   

   1800 ×	2	×	1	= 100 men
   	3		12

   
   25 men are already working
   ∴ Extra men to be employed
   = 100 – 25 = 75

   Correct Option: C

   Scheduled time to complete the work = 40 days
   

   25 men in 24 days do	1	work
   	3

   
   ∴ 1 man in 1 day does
   

   	1	=	1	work.
   	3 × 25 × 24		1800

   
   Work remaining
   

   = 1 -	1	=	2
   	3		3

   
   The work is to be completed 4 days before schedule i.e., in (40 – 4) 36 days
   

   No. of days left for	2	rd work
   	3

   
   = 36 – 24 = 12 days
   

   	1
   	1800

   
   work is done in 1 day by 1 man.
   

   ∴	2	work will be done in 12 days by
   	3

   
   

   1800 ×	2	×	1	= 100 men
   	3		12

   
   25 men are already working
   ∴ Extra men to be employed
   = 100 – 25 = 75

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125. Working efficiencies of P and Q for completing a piece of work are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio

1. 1. 3 : 2

   
   
   

   2. 2 : 3

   
   
   

   3. 3 : 4

   
   
   

   4. 4 : 3

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using Rule 15,
   Efficiency and time taken are inversely proportional.
   ∴ Required ratio = 4 : 3

   Correct Option: D

   Using Rule 15,
   Efficiency and time taken are inversely proportional.
   ∴ Required ratio = 4 : 3

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