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Time and Work

13.) Women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

A. 3                      B. 5

C. 7                      D. cannot be determined

View Answer

Answer: Option C
Explanation:

1 woman's 1 day's work =    1/70

1 child's 1 day's work =       1/140

(5 women + 10 children)'s day's work = (   5/70 + 10/140) = 1/14 + 1/14=1/7

bindu 5 women and 10 children will complete the work in 7 days.


14.) X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A.       6 days                 B.       10 days

C.       15 days                 D.       20 days

View Answer

Answer: Option B
Explanation:

Work done by X in 4 days = (1/20x 4) = 1/5

Remaining work =      1 - 1/5 = 4/5

(X + Y)'s 1 day's work = 1/20 + 1/12) = 8/60 = 2/15

Now, 2/15 work is done by X and Y in 1 day.

So, 4/5 work will be done by X and Y in (15/2 x 4/5) = 6 days.

Hence, total time taken = (6 + 4) days = 10 days.


15.) Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A.       7 hours 30 minutes    B.       8 hours

C.       8 hours 15 minutes    D.       8 hours 25 minutes

View Answer

Answer: Option C
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 x 3/40) hours

= 8 ¼ hour (or) 8 hours 15 minutes.


16.) Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

A.       3: 4                        B.       4: 3

C.       5: 3                       D.       Data inadequate

View Answer

Answer: Option B
Explanation:

(20 x 16) women can complete the work in 1 day.

1 woman's 1 day's work =    1/320

(16 x 15) men can complete the work in 1 day.

bindu 1 man's 1 day's work =   1/240

So, required ratio =   1/240: 1/320

= 1/3: 1/4

= 4: 3 (cross multiplied)


17.) 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 in:

A.       4 days                    B.       6 days

C.       8 days                    D.       18 days

View Answer

Answer: Option A
Explanation:

Ratio of rates of working of A and B = 2: 1.

So, ratio of times taken = 1: 2.

B's 1 day's work =     1/12

bindu A's 1 day's work = 1; (2/6 times of B's work)

(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 days.

 


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