Quant Quiz-Time and Work
1.Adam can do a job in 15 days, John can do the same job in 20 days.
If they work together for 4 days on this job. What fraction of job is incomplete ?
A.1/4
C.1/10
B.7/15
D.8/15
E. none of these
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 ?
A.7 hours
B.8 hours
C.8 hours 15 min
D.8 hours 30 mins7 hours
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 ?
A. 5 days
B. 7 days
C. 9 days
D.10 days
E. none of these
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 ?
A. 12 days
B. 15 days
C. 16 days
D. 18 days
E.none of these
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?
A.27 days
B.54 days
C.56 days
D.68 days
E.none of these
6.A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes.
B alone can do the whole work in ?
A.15 days
B.10 days
C.9 days
D.8 days
E.none of these
7.4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days.
In how many days will 10 women working together finish it ?
A.30 days
B.40 days
C.50 days
D.60 days
E.none of these
8.10 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.6 days
B.7 days
C.8 days
D.9 days
E.none of these
9.5 men and 2 boys working together can do four times as much work as a man and a boy.
Working capacity of man and boy is in the ratio?
A.1:2
B.1:3
C.2:1
D.2:3
E.none of these
10.A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours,
for the completion of the same product.If all of them worked together and completed 14 products, then how many hours have they worked?
A.20 hrs
B.28 hrs
C.40 hrs
D.54 hrs
E.none of these
Next topic is Partnership.
Answers:
1.(D)
Adam can do 1/15 of the job per day
John can do 1/20 of the job per day
If they work together they can do 7/60 of the work together
Remaining job 1 - 4*7/60 = 32/60 = 8/15
2.(C)
Ram can type 32/6 pages per hour
Shaam can type 8 pages per hourThey can type 32/6 + 8 = 40/3 pages per hour
So they will take 110/40 × 3 = 33/4 hours or 8 hours 15 minutes
3.(E)
7 men can do 1/12 of the job per day
So after 5 days they have completed 5/12th job. Still 7/12 part of the job is to be completed.
5 men can do 1/12 × 5/7 = 5/84 of the job per day
So they will take 7/12 × 84 /5 = 9 ⅘ days to complete the job
4.(B)
Efficiency of A = 1/20 = 5% per day
Efficiency of B = 1/30 = 3.33% per day
Efficiency of C = 1/60 = 1.66% per day
In three days A can do 15% of the job himself and B and C do 5% of the job ( 1.66% + 3.33% )
In three days they can do 20% of the job, to do 100% of the job, they need 3 × 5 = 15 days
5.(B)
As per question, A do twice the work as done by B.
So A:B = 2:1
Also (A+B) one day work = 1/18
To get days in which B will finish the work, lets calculate work done by B in 1 day =
=(1/18∗1/3)=1/54
[Please note we multiplied by 1/3 as per B share and total of ratio is 1/3]
So B will finish the work in 54 days
6.(A)
Ratio of times taken by A and B = 1:3
Means B will take 3 times which A will do in 1 time
If difference of time is 2 days, B takes 3 days
If difference of time is 10 days, B takes (3/2) * 10 =15 days
7.(B)
Let 1 man's 1 day work = x
and 1 woman's 1 days work = y.
Then, 4x + 6y = 1/8
and 3x+7y = 1/10
solving, we get y = 1/400 [means work done by a woman in 1 day]
10 women 1 day work = 10/400 = 1/40
10 women will finish the work in 40 days
8.(B)
1 woman's 1 day's work = 1/70
1 Child's 1 day's work = 1/140
5 Women and 10 children 1 day work =
(5/70+10/140)=1/7
So 5 women and 10 children will finish the work in 7 days.
9.(C)
Let 1 man 1 day work = x
1 boy 1 day work = y
then 5x + 2y = 4(x+y)
x = 2y
x/y = 2/1
x:y = 2:1
10.(C)
1/A=1/10 and
1/B+1/C=1/4 (Given)
1/A+1/B+1/C=1/4+1/10
=7/20
In 20 hours, working together they will complete 7 products.
Thus in 40 hours they will complete 14 products
Answers:
1.(D)
Adam can do 1/15 of the job per day
John can do 1/20 of the job per day
If they work together they can do 7/60 of the work together
Remaining job 1 - 4*7/60 = 32/60 = 8/15
2.(C)
Ram can type 32/6 pages per hour
Shaam can type 8 pages per hourThey can type 32/6 + 8 = 40/3 pages per hour
So they will take 110/40 × 3 = 33/4 hours or 8 hours 15 minutes
3.(E)
7 men can do 1/12 of the job per day
So after 5 days they have completed 5/12th job. Still 7/12 part of the job is to be completed.
5 men can do 1/12 × 5/7 = 5/84 of the job per day
So they will take 7/12 × 84 /5 = 9 ⅘ days to complete the job
4.(B)
Efficiency of A = 1/20 = 5% per day
Efficiency of B = 1/30 = 3.33% per day
Efficiency of C = 1/60 = 1.66% per day
In three days A can do 15% of the job himself and B and C do 5% of the job ( 1.66% + 3.33% )
In three days they can do 20% of the job, to do 100% of the job, they need 3 × 5 = 15 days
5.(B)
As per question, A do twice the work as done by B.
So A:B = 2:1
Also (A+B) one day work = 1/18
To get days in which B will finish the work, lets calculate work done by B in 1 day =
=(1/18∗1/3)=1/54
[Please note we multiplied by 1/3 as per B share and total of ratio is 1/3]
So B will finish the work in 54 days
6.(A)
Ratio of times taken by A and B = 1:3
Means B will take 3 times which A will do in 1 time
If difference of time is 2 days, B takes 3 days
If difference of time is 10 days, B takes (3/2) * 10 =15 days
7.(B)
Let 1 man's 1 day work = x
and 1 woman's 1 days work = y.
Then, 4x + 6y = 1/8
and 3x+7y = 1/10
solving, we get y = 1/400 [means work done by a woman in 1 day]
10 women 1 day work = 10/400 = 1/40
10 women will finish the work in 40 days
8.(B)
1 woman's 1 day's work = 1/70
1 Child's 1 day's work = 1/140
5 Women and 10 children 1 day work =
(5/70+10/140)=1/7
So 5 women and 10 children will finish the work in 7 days.
9.(C)
Let 1 man 1 day work = x
1 boy 1 day work = y
then 5x + 2y = 4(x+y)
x = 2y
x/y = 2/1
x:y = 2:1
10.(C)
1/A=1/10 and
1/B+1/C=1/4 (Given)
1/A+1/B+1/C=1/4+1/10
=7/20
In 20 hours, working together they will complete 7 products.
Thus in 40 hours they will complete 14 products
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