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Engineering Aptitude
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Time and Work Quiz1
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Question 1 of 10
1. Question
1 pointsA can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Correct
A’s 1 day’s work = 1 ; 15 B’s 1 day’s work = 1 ; 20 (A + B)’s 1 day’s work = 1 + 1 = 7 . 15 20 60 (A + B)’s 4 day’s work = 7 x 4 = 7 . 60 15 Therefore, Remaining work = 1 – 7 = 8 . 15 15 Incorrect
A’s 1 day’s work = 1 ; 15 B’s 1 day’s work = 1 ; 20 (A + B)’s 1 day’s work = 1 + 1 = 7 . 15 20 60 (A + B)’s 4 day’s work = 7 x 4 = 7 . 60 15 Therefore, Remaining work = 1 – 7 = 8 . 15 15 
Question 2 of 10
2. Question
1 pointsA, 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?
Correct
A’s 2 day’s work = 1 x 2 = 1 . 20 10 (A + B + C)’s 1 day’s work = 1 + 1 + 1 = 6 = 1 . 20 30 60 60 10 Work done in 3 days = 1 + 1 = 1 . 10 10 5 Now, 1 work is done in 3 days. 5 Whole work will be done in (3 x 5) = 15 days.
Incorrect
A’s 2 day’s work = 1 x 2 = 1 . 20 10 (A + B + C)’s 1 day’s work = 1 + 1 + 1 = 6 = 1 . 20 30 60 60 10 Work done in 3 days = 1 + 1 = 1 . 10 10 5 Now, 1 work is done in 3 days. 5 Whole work will be done in (3 x 5) = 15 days.

Question 3 of 10
3. Question
1 pointsA 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 days. How much is to be paid to C?
Correct
C’s 1 day’s work = 1 – 1 + 1 = 1 – 7 = 1 . 3 6 8 3 24 24 A’s wages : B’s wages : C’s wages = 1 : 1 : 1 = 4 : 3 : 1. 6 8 24 C’s share (for 3 days) = Rs. 3 x 1 x 3200 = Rs. 400. 24 Incorrect
C’s 1 day’s work = 1 – 1 + 1 = 1 – 7 = 1 . 3 6 8 3 24 24 A’s wages : B’s wages : C’s wages = 1 : 1 : 1 = 4 : 3 : 1. 6 8 24 C’s share (for 3 days) = Rs. 3 x 1 x 3200 = Rs. 400. 24 
Question 4 of 10
4. Question
1 pointsA can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it? Correct
A’s 1 hour’s work = 1 ; 4 (B + C)’s 1 hour’s work = 1 ; 3 (A + C)’s 1 hour’s work = 1 . 2 (A + B + C)’s 1 hour’s work = 1 + 1 = 7 . 4 3 12 B’s 1 hour’s work = 7 – 1 = 1 . 12 2 12 B alone will take 12 hours to do the work.
Incorrect
A’s 1 hour’s work = 1 ; 4 (B + C)’s 1 hour’s work = 1 ; 3 (A + C)’s 1 hour’s work = 1 . 2 (A + B + C)’s 1 hour’s work = 1 + 1 = 7 . 4 3 12 B’s 1 hour’s work = 7 – 1 = 1 . 12 2 12 B alone will take 12 hours to do the work.

Question 5 of 10
5. Question
1 pointsIf 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Correct
Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y.
Then, 6x + 8y = 1 and 26x + 48y = 1 . 10 2 Solving these two equations, we get : x = 1 and y = 1 . 100 200 (15 men + 20 boy)’s 1 day’s work = 15 + 20 = 1 . 100 200 4 15 men and 20 boys can do the work in 4 days.
Incorrect
Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y.
Then, 6x + 8y = 1 and 26x + 48y = 1 . 10 2 Solving these two equations, we get : x = 1 and y = 1 . 100 200 (15 men + 20 boy)’s 1 day’s work = 15 + 20 = 1 . 100 200 4 15 men and 20 boys can do the work in 4 days.

Question 6 of 10
6. Question
1 pointsA can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
Correct
B’s 10 day’s work = 1 x 10 = 2 . 15 3 Remaining work = 1 – 2 = 1 . 3 3 Now, 1 work is done by A in 1 day. 18 1 work is done by A in 18 x 1 = 6 days. Incorrect
B’s 10 day’s work = 1 x 10 = 2 . 15 3 Remaining work = 1 – 2 = 1 . 3 3 Now, 1 work is done by A in 1 day. 18 1 work is done by A in 18 x 1 = 6 days. 
Question 7 of 10
7. Question
1 pointsIn the beginning, Ram works at a rate such that he can finish a piece of work in 24 hrs, but he only works at this rate for 16 hrs. After that, he works at a rate such that he can do the whole work in 18 hrs. If Ram is to finish this work at a stretch, how many hours will he take to finish this work?
Correct
Ram’s 16 hr work = 16/24 = 2/3. Remaining work = 1 – 2/3 = 1/3.
Using work and time formula: This will be completed in 1/3 × 18 i.e. 6 hrs.
So, total time taken to complete work = 16 + 6= 22 hrs.Incorrect
Ram’s 16 hr work = 16/24 = 2/3. Remaining work = 1 – 2/3 = 1/3.
Using work and time formula: This will be completed in 1/3 × 18 i.e. 6 hrs.
So, total time taken to complete work = 16 + 6= 22 hrs. 
Question 8 of 10
8. Question
1 pointsA can do a piece of work in 10 days, and B can do the same work in 20 days. With the help of C, they finished the work in 4 days. C can do the work in how many days, working alone?
Correct
Their combined 4 day work = 4(1/10 + 1/15) = 12/20 = 3/5.
Remaining work = 1 – 3/5 = ⅖.
This means C did 2/5 work in 4 days, hence he can finish the complete work in 5/2 × 4 = 10 days.Incorrect
Their combined 4 day work = 4(1/10 + 1/15) = 12/20 = 3/5.
Remaining work = 1 – 3/5 = ⅖.
This means C did 2/5 work in 4 days, hence he can finish the complete work in 5/2 × 4 = 10 days. 
Question 9 of 10
9. Question
1 pointsA can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?
Correct
A’s work in 9 days = 9/12 = 3/4. Remaining work = 1/4.
This work was done by B in 1/4 × 16 = 4 days.
∴ B would have joined A after 9 – 4 = 5 days.Q.4.A and B can do a piece of work in 4 days,Incorrect
A’s work in 9 days = 9/12 = 3/4. Remaining work = 1/4.
This work was done by B in 1/4 × 16 = 4 days.
∴ B would have joined A after 9 – 4 = 5 days.Q.4.A and B can do a piece of work in 4 days, 
Question 10 of 10
10. Question
1 pointsA, B, C, and D can do a piece of work in 20 days. If A and B can do it together in 50 days, and C alone in 60 days, find the time in which D alone can do it.
Correct
D alone will take 1/20 – 1/50 – 1/60 = 4/300 = 1/75
⇒ 75 days to complete the work.Incorrect
D alone will take 1/20 – 1/50 – 1/60 = 4/300 = 1/75
⇒ 75 days to complete the work.