# Dell Time and work Questions

## Dell Quants Time & Work Quiz

 Question 1
```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 20 days D 15 days
Question 1 Explanation:
Work done by X in 4 days =[1/20 * 4] = 1/5Remaining work =[1-1/5] = 4/5 (X+Y)â€™s 1 days 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 * 4/5] = 6 days Hence, total time taken = (6 + 4) days = 10 days
 Question 2
```P can complete a work in 12 days working 8 hours a day.
Q can complete the same work in 8 days working 10 hours a day.
If both P and Q work together, working 8 hours a day,
in how many days can they complete the work?```
 A 5 5/11 B 5 6/11 C 6 5/11 D 6 6/11
Question 2 Explanation:
P can complete the work in (12 x 8) hrs. = 96 hrs. Q can complete the work in (8 x 10) hrs. = 80 hrs. Pâ€™s1 hourâ€™s work =1/96 and Qâ€™s 1 hourâ€™s work =1/80 (P + Q)â€™s 1 hourâ€™s work = [1/96 + 1/80]= 11/480 So, both P and Q will finish the work in 480/11 hrs Number of days of 8 hours each =[480/11 * 1/8]=60/11 days= 5 5/11 days
 Question 3
```A certain number of men complete a piece of work in 60 days.
IF there were 8 men more the work would have been completed
in 10 days less. How many men were there originally?```
 A 30 B 35 C 40 D 45
Question 3 Explanation:
If there are x workers in first case 1 man will take 60x. In second it will be 50(x+8)60x = 50x + 400 x = 40
 Question 4
```A group of men can complete a job in K hours. After every 4 hours,
half the number of men working at that point of time leave the job.
Continuing this way if the job is finished in 16 hours,
what is the value of K ?```
 A 7 hrs B 7.5 hrs C 8 hrs D 8.25 hrs
Question 4 Explanation:
job completed in first 4 hrs = L x 4 = 4L job completed in next 4 hrs = 4 x L/2 = 2L job completed in next 4 hrs = 4 x L/4 = L job completed in last 4 hrs = 4 x L/8 = L/2 4L + 2L + L + L/2 = KL K = 7+1/2 = 7.5 hours.
 Question 5
```In 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,
howmany hours will he take to finish this work?```
 A 12 hrs B 18 hrs C 23/2 hrs D 22 hrs
Question 5 Explanation:
Ramâ€™s 16 hr work = 16/24 = 2/3. Remaining work = 1 â€“ 2/3 = 1/3. Using work and time formula: This will be completed in 1/3 Ã— 18 i.e. 6 hrs. So, total time taken to complete work = 16 + 6 = 22 hrs.
 Question 6
```A can do a piece of work in 10 days, and B can do this work in 15 days.
They both started together. After three days, B left the work.
In how many more days will the work be finished?```
 A 5 days B 10 days C 15 days D 20 days
Question 6 Explanation:
Their combined 3 day work = 3(1/10 + 1/15) = 3/6 = 1/2. Remaining work = 1 â€“ 1/2 = Â½. This will be done by A in 1/2 Ã— 10 = 5 days.
 Question 7
```A 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?```
 A 2 days B 3 days C 4 days D 5 days
Question 7 Explanation:
A’s work in 9 days = 9/12 = 3/4. Remaining work = 1/4. This work was done by B in 1/4 Ã— 16 = 4 days. âˆ´ B would have joined A after 9 â€“ 4 = 5 days.
 Question 8
```A and B can do a piece of work in 4 days, while C and D can
do the same work in 12 days. In how many days will A, B, C and
D do it together?```
 A 12 days B 4 days C 3 days D 2 days
Question 8 Explanation:
A, B, C and D will together take Â¼ + 1/12 = = 4/12 = 1/3 â‡’ 3 days to complete the work.
 Question 9
```A, 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.```
 A 120 days B 200 days C 75 days D 90 days
Question 9 Explanation:
D alone will take 1/20 â€“ 1/50 â€“ 1/60 = 4/300 = 1/75 â‡’ 75 days to complete the work.
 Question 10
```12 men can complete a work in 8 days. 16 women can complete the
same work in 12 days. 8 men and 8 women started working and
worked for 6 days. How many more men are to be added to
complete the remaining work in 1 day?```
 A 8 B 12 C 16 D 25
Question 10 Explanation:
1 man 1 day work =1/96 1 woman 1 day work = 1/192 Work done in 6 days=6(8/96+8/192) = 6Ã—18 =3/4 Remaining work = 1/4 (8 men +8 women)’s 1 day work = 1(8/96+8/192) =1/8 Remaining work =1/4 – 1/8 = 1/8 1/96 work is done in 1 day by 1 man Therefore, 1/8 work will be done in 1 day by 96 x (1/8) =12 men
There are 10 questions to complete.