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Q #16
:

Directions: Read the following information to answer the question.

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 dyas. How much is to be paid to C?

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Explanation :

 C’s 1 day’s work =1/3-1/6+1/8

=1/3-7/24=1/24

 A’s wages : B’s wages : C’s wages =1/6:1/8:1/24

 = 4 : 3 : 1.     

 C's share = Rs.1/8 x 3200 = Rs. 400


Q #17
:

Directions: Read the following information to answer the question.

P, Q and R are three typists who working simultaneously can type 216 pages in 4 hours. In one hour, R can type as many pages more than Q as Q can type more than P. During a period of five hours, R can type as many pages as P can during seven hours. How many pages does each of them type per hour?

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Explanation :

 Let the number of pages typed in one hour by P, Q and R be x, y and z respectively.

 Then,

 x + y + z =216/4

 x + y + z = 54    ...(i)     

 z - y = y - x   

2y = x + z    ...(ii)     

 5z = 7x   

 x ={5/7} z        ...(iii)     

Solving (i), (ii) and (iii), we get x = 15, y = 18, z = 21.


Q #18
:

Directions: Read the following information to answer the question.

A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days A left. Then B and C together completed the work in 10 more days. A alone could complete the work in:

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Explanation :

 Work done by A, B and C in 4 days ={1/10}x 4=2/5

. Remaining work =1 -2/5=3/5

 Now,3/5 work is done by B anc C in 10 days.             

 Whole work will be done by B and C in    10 x{5/3}=50/3 days.         

 (A + B + C)’s 1 day’s work =1/10

, (B + C)'s 1 day's work =    3/50

 A’s 1 day’s work =1/10-    3/50=2/50=1/25

  A alone could complete the work in 25 days.


Q #19
:

Directions: Read the following information to answer the question.

A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in:

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Explanation :

 (A + B)'s 2 days' work =    1/16+1/12=7/48

 work done in 6 pairs of days ={7/48} x 6    =7/8

. Remaining work =1-7/8=1/8

 Work done by A on 13th day =    1/16

  Remaining work =1/8-1/16=1/16

 On 14th day, it is B’s turn.

 1/12  Work is done by B in 1 day.   

1/16work is done by B in12 x{1/16}=3/4 day                 

   Total time taken 55/4 days.


Q #20
:

Directions: Read the following information to answer the question.

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work is:

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Explanation :

 Ratio of rates of working of A and B = 2 : 1. So, ratio of times taken = 1 : 2.

 A's 1 day's work =1/6

 ; B's 1 day's work =1/12

 (A + B)'s 1 day's work =    1/6+1/12=3/12=1/4

 So, A and B together can finish the work in 4 day