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Q:

A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 daysrespectively, working alone ,then in how many days A can complete the work individually:

A) 12 days B) 18 days
C) 24 days D) 30 days

Answer:   B) 18 days



Explanation:

                                              A     +      B        =      C     +     D 

                                              |              |                 |             | 

    Ratio of efficiency         10x   +    5x               9x     +   6x 

                                             |________|                 |_________|   

                                                   15x                           15x 

Therefore , ratio of efficiency of A:C  =10:9 

Therefore,  ratio of days taken by A:C = 9:10 

Therefore, number of days taken by A = 18 days                 

Q:

A and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 27 B) 18
C) 24 D) 21
 
Answer & Explanation Answer: A) 27

Explanation:
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Q:

A can paint a house in 42 days and B can do it in 21 days. Along with C, they can finish the job in 7 days only.C alone can do the painting job in how many days, ?

A) 9 B) 12
C) 14 D) 15
 
Answer & Explanation Answer: C) 14

Explanation:
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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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Q:

A mason can build a wall in 70 hours. After 7 hours he takes a break. What fraction of the wall is yet to be built?

A) 0.9 B) 0.8
C) 0.5 D) 0.75
 
Answer & Explanation Answer: A) 0.9

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Q:

A does 75% of a work in 25 days. He then calls in B and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 50 days B) 80 days
C) 24 days D) 37.5 days
 
Answer & Explanation Answer: A) 50 days

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Q:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole work?

A) 12.5 days B) 100 days
C) 22.5 days D) 35 days
 
Answer & Explanation Answer: B) 100 days

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Q:

A does 60% of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 25 days B) 20 days
C) 80 days D) 24 days
 
Answer & Explanation Answer: A) 25 days

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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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