Time and Work








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Quiz Begins Here

Q #1
⏰ :

Directions: Read the following information to answer the question.

A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

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Explanation :

 Ratio of times taken by A and B = 1 : 3.

 If difference of time is 2 days, B takes 3 days.

 If difference of time is 60 days, B takes    { 3/2} x 60 = 90 days.     

 So, A takes 30 days to do the work.

 A's 1 day's work =1/30

 ; B's 1 day's work =1/90

 (A + B)'s 1 day's work =    1/30+1/90

 =4/90=    2/45

A and B together can do the work in   

45/2= 22 1/2 days.


Q #2
⏰ :

Directions: Read the following information to answer the question.

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

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Explanation :

 Let A's 1 day's work = x and B's 1 day's work = y.

 Then, x + y =    1/30

  and 16x + 44y = 1.     

 Solving these two equations, we get: x =1/60

and y =    1/60

B's 1 day's work 1/60

Hence, B alone shall finish the whole work in 60 days.


Q #3
⏰ :

Directions: Read the following information to answer the question.

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

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Explanation :

 B's 1 day's work =1/12-    1/20

=2/60=1/30

 Now, (A + B)'s 1 day's work =1/20+1/60

 =4/60=    1/15

.    [  B works for half day only    ]         

 So, A and B together will complete the work in 15 days.


Q #4
⏰ :

Directions: Read the following information to answer the question.

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

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Explanation :

 Suppose A, B and C take x,x/2andx/3

  hours respectively to finish the work.     

 Then,1/x+2/x+3/x=1/2

 6/x=1/2

 x = 12.         

 So, B takes 6 hours to finish the work.


Q #5
⏰ :

Directions: Read the following information to answer the question.

If A can do1/4 of a work in 3 days and B can do1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in all?

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Explanation :

 Whole wok is done by A in (3 x 4) = 12 days.

 Whole work is done by B in (4 x 6) = 24 days.

 A’s wages : B’s wages = A’s 1 day’s work : B’s 1 day’s work =1/12 :1/24 = 2 : 1      A's share = Rs.2/3 x 180        = Rs. 120.