46.  A and B can do a job together in 7 days. A is 1 3/4 times as efficient as B. the same job can be done by A alone in


9 1/3 days
12 1/4 days
16 1/3 days
11 days


Answer

 Option

(A's 1 day's work) : (B's 1 day's work) = 7/4: 1 = 7:4. Let A's and B's 1 day's work be 7 x and 4x respectively. Then, 7x +4x = 1/7 = 11x= 1/7 = x = 1/77. therefore A's 1 day's work = (1/77*7) = 1/11.

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47.  A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. the whole work was completed in?


8 days
10 days
10 1/2 days
12


Answer

 Option

(A+B)'s 1 day's work = (1/15+ 1/10) = 1/6. work done by A and B in 2 days = (1/6*2) = 1/3. Remaining work = ( 1- 1/3) = 2/3. Now, 1/15 work is done by A in 1 day. therefore 2/3 work will be done by A in (15*2/3) = 10 days. hence, total time taken = (10+2) = 12 days.

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48.  A & B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days in how many days can B alone complete that work?


7 days
5 days
6 days
9 days


Answer

 Option

(A + B)'s 1 day's work = 1/4; A's 1 day's work = 1/12; B's 1 day's work = (1/4 - 1/12) = 1/6 Hence B alone can complete the work in 6 days.

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49.  45 men can complete a work in 16 days. Six days after they started working 30 more men joined them.How many days will they now take to complete the remaining work?


5 days
7 days
8 days
6 days


Answer

 Option

(45*16) men can complete a work in 1 day 1 man's 1 day's work = 1/720 45 men's 6 day's work =(1/16*6) = 3/8, Remaining work = ( 1- 3/8) = 5/8 75 men's 1 day's work = 75/720 = 5/48 Now 5/48 work is done by them in 1 day 5/8 work is done by them in(48/5*5/8) = 6 days

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50.  2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work?


13 1/2 days
13 days
12 1/2 days
10 days


Answer

 Option

Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y then, 2x+3y = 1/10 and 3x+2y = 1/8 solving we get : x= 7/200 and y = 1/100 (2 men + 1 boy)'s 1 day work = (2*7/200+ 1*1/100) = 16/200 = 2/25 so 2 men and 1 boy together can finish the work in 25/2 = 12 1/2 days.

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