Time And Work(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

TIME AND WORK MCQs

Time & Work, Work And Wages

Total Questions : 1512 | Page 151 of 152 pages

Question 1501. B can work 3 times faster than A. They work together on a task and complete it in a day. How long does it take for B alone to complete the task?

32 hours
48 hours
3 days
4 days

Discuss Question

Answer: Option A. -> 32 hours
PART OF TASK COMPLETED BY A IN A DAY = 1/X PART OF TASK COMPLETED BY B IN A DAY = 3/X (B IS THRICE AS EFFICIENT AS A) (1/X)+(3/X) = 1 4/X = 1 X = 4 B COMPLETES 3/4TH OF THE TASK IN A DAY. HE TAKES 4/3 DAYS TO COMPLETE THE ENTIRE TASK. 4/3 DAYS = (4/3*24) HOURS = 32 HOURS

Question 1502. A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately. If A begins first, in how many days the work will be completed ?

42/4 days
41/4 days
55 days
None of these

Discuss Question

Answer: Option B. -> 41/4 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 1503. 4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work.

15 days
10 days
8 days
20 days

Discuss Question

Answer: Option B. -> 10 days
(4/M)+(2/W) = 1/2 2/M = 1/5 1/M = 1/10 (4/10)+(2/W) = (1/2) 2/W = 1/10 2 WOMEN ALONE TAKE 10 DAYS.

Question 1504. A and B together take 6 days to complete a task. B and C together take 12 days to complete the same task. A and C together take 8 days to complete it. If A, B and C are working together, how long does it take for them to complete the task?

4(2/3) days
4 days
5(1/3) days
1(1/3) days

Discuss Question

Answer: Option C. -> 5(1/3) days
(1/A)+(1/B) = (1/6) (1/B)+(1/C) = (1/12) (1/A)+(1/C) = (1/8) SOLVING THE THREE EQUATIONS,
(1/A)+(1/B)+(1/C) = (3/16) TOGETHER THEY TAKE 16/3 = 5(1/3) DAYS TO COMPLETE THE TASK.

Question 1505. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every Third day ?

12 days
15 days
16 days
18 days

Discuss Question

Answer: Option C. -> 16 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 1506. A and B can do a work in 8 days, 13, and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in_________?

4 days
6 days
8 days
12 days

Discuss Question

Answer: Option C. -> 8 days
(A + B + C)’S 1 DAY’S WORK = 1/6; (A + B)’S 1 DAY’S WORK = 1/8 (B + C)’S 1 DAY’S WORK = 1/12 (A + C)’S 1 DAY’S WORK = ( 2 X 1/6 ) – ( 1/8 + 1/12 ) = ( 1/3 – 5/24 ) = 3/24 = 1/8 SO, A AND C TOGETHER WILL DO THE WOIRK IN 8 DAYS.

Question 1507. A can do a certain work-in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in_________?

15 days
20 days
25 days
30 days

Discuss Question

Answer: Option C. -> 25 days
(A + B)’S 1 DAY’S WORK = 1/10; C’S 1 DAY’S WORK = 1/50 (A + B + C)’S 1 DAY’S WORK = 1/10 + 1/50 = 6/50 = 3/25 ALSO, A’S 1 DAY’S WORK = (B + C)’S 1 DAY’S WORK
FROM (I) AND (II), WE GET : 2 X (A’S 1 DAY’S WORK) = 3/25 AS 1 DAY’S WORK = 3/50 B’S 1 DAY’S WORK = 1/10 – 3/50 = 2/50 = 1/25 SO, B ALONE COULD DO THE WORK IN 25 DAYS.

Question 1508. 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
12 days
15 days

Discuss Question

Answer: Option C. -> 12 days
(A.+ B)’S 1 DAY’S WORK = ( 1/15 + 1/10 ) = 1/6 WORK DONE BY A AND B IN 2 DAYS = ( 1/6 X 2 ) = 1/3 REMAINING WORK = ( 1 – 1/6 ) = 2/3
NOW, 1/15 WORK IS DONE BY A IN 1 DAY. SO 2/3 WORK WILL BE DONE BY A IN ( 15 X 2/3 ) = 10 DAYS HENCE, TOTAL TIME TAKEN = (10 + 2) = 12 DAYS.

Question 1509. 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 ?

3 : 4
4 : 3
5 : 3
Data inadequate

Discuss Question

Answer: Option B. -> 4 : 3
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 1510. A and B together can complete a work in 1.2 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 ?