1. To Finish a work, B will take three times as long as A and C together and C will take twice as long as A and B together. If the three persons A, B and C together can finish the work in 20 days , then how long will A take to finish the work alone?

1. 30 days

2. 45 days

3. 48 days

4. 60 days

5. None of these

Answer & Explanation

Answer:- 3

Explanation :-

Let time taken by A & C to complete the Work = x days

Therefore , Time taken by B to complete the Work = 3x days

Therefore , Work done by A, B and C in 1 day = (1/x) + (1/3x)

(1/x) + (1/3x) = 1/20

x = 80/3

Let time taken by A & B to complete the Work = y days

Therefore , Time taken by C to complete the Work = 2x days

Therefore , Work done by A, B and C in 1 day = (1/y) + (1/2y)

(1/y) + (1/3y) = 1/20

y = 30

Now ,

Work done by A, B and C in 1 day = (1/A) + (1/3x) + (1/2y) = 1/20

A = 48 days

2. Ram takes 6 hours to type 32 pages. Shaam takes 5 hours to type 40 pages. In how many hours they will type 110 pages together ?

1. 7 hours

2. 8 hours

3. 8 hours 15 min

4. 8 hours 30 mins7 hours

5. None of these

Answer & Explanation

Answer:- 3

Explanation :-

Number of pages typed by Ravi in 1 hour = 32/6 = 16/3

Number of pages typed by Kumar in 1 hour = 40/5 = 8

Number of pages typed by both in 1 hour =(16/3) + 8 = 40/3

Time taken by both to type 110 pages =110 * (3/40) = 8 1⁄4

3.7 men take 12 days to complete a job. They worked for 5 days, after 5 days 2 men left the job. In how many days 5 men will complete the job ?

1. 5 days

2. 7 days

3. 9 days

4.10 days

5. None of these

Answer & Explanation

Answer:- 5

Explanation :-

7 Man can complete the work in 12 days

5 days work of 7 men = 5/12

Remaining Work = 1 – (5/12) = 7/12

1 man can complete the work in = 12*7 = 84

1 day work of a man = 1/84

5 day work of men = 5/84

Time taken by 5 men to complete the Remainning work = (7/12)/(5/84) = 49/5 days

4.If A, B and C can do a job in 20, 30 and 60 days respectively. In how many days A can do the work if B and C help him on every third day ?

1. 12 days

2. 15 days

3. 16 days

4. 18 days

5. None of these

Answer & Explanation

Answer:- 2

Explanation :-

Work done by A in 1 day = 1/20

Work done by B in 1 day = 1/30

Work done by C in 1 day = 1/60

Work done by A in 2 days = 2/20 = 1/10

Work done by A ,B & C in every third day = (1/20) + (1/30 + (1/60) = 1/10

Work completed in every 3 days = (1/10) + (1/10) = 1/5

So work completed in 15 days = 5 × 1/5 = 1

Ie, the work will be done in 15 days

5.A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work?

1. 27 days

2. 54 days

3. 56 days

4. 68 days

5. None of these

Answer & Explanation

Answer:- 2

Explanation :-

Lets suppose A completes the work in x days

Therefore ,B can complete the work in 2x days

A’s 1 day work = 1/x , B’s 1 day work = 1/2x

(1/x) + (1/2x) = 1/18

x = 27

A competes the work in 27 days , therefore B can complete the work in 2*27 = 54 days