Test: Time And Work- 1
20 Questions MCQ Test Quantitative Techniques for CLAT | Test: Time And Work- 1
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A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?
To calculate the answer we need to get 1 man per day work and 1 woman per day work.
Let 1 man 1 day work =x
and 1 woman 1 days work = y.
=> 6x+5y = 1/6
and 3x+4y = 1/10
On solving, we get x = 1/54 and y = 1/90
(9 men + 15 women)'s 1 days work =
(9/54) + (15/90) = 1/3
9 men and 15 women will finish the work in 3 days
A works twice as fast as B. if both of them can together finish a work in 12 days, B alone can do it in.
:a= t
1 day work of a and b = 1/2t+1/t=1+2/2t
=3/2t_(1)
1day work of a and b =1/12_(2)
1/12=3/2t
t=18
b can do that work alone =18×2=36
A alone can complete a work in 12 days, while A and B together can complete the same work in 8 days. The number of days that B will take to complete the work alone is
A work could be completed in 100 days. Due to the absence of 10 workers it was completed in 110 days. The original number of workers was
A can do a job in 15 days B in 10 days and C in 30 days. If A is helped by B and C on every third day, the job will be completed in
Certain number of men can complete a job in 30 days. If there were 5 more men, it could be completed in 10 days less. How many men were there in the beginning?
A man is paid Rs. 20 for each day he works and loses Rs. 3 for each day he is idle. At the end of 60 days he gets Rs. 280. Then he was idle for
Suppose the worker remained idle for x days . Then , he worked for (60−x) days.
∴ 20(60−x)−3x=280
⇔ 1200-23x=280
⇔ 23x=920
⇔ x=40
A takes double as much time as B or thrice as much time as C to finish a piece of work. Working together they can finish the work in 2 days. B alone can do the workin -
4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.
The correct option is C.
Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.
Solving the two equations, we get:
x = 
, y = 
∴ 1 woman's 1 day's work = 
⇒ 10 women's 1 day's work = (
x 10) = 
Hence, 10 women will complete the work in 40 days.
72 men can build a wall 280 m long in 21 days. How many men will take 18 days to build a similar type of a wall of length 100 m.
The correct option is D.
Here work is 280 m length of wall and 100 m length of wall
Let 'M' men finish the 100 m wall.
72×21/280 = M×18/100
72×21/280=M×18/100
M=30
Prem and Sham can do a job together in 7 days. Sham is 1¾ times more efficient than Prem. Same job can be done by sham alone in
If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it.
8 men can do a work in 12 days. After 6 days of work four more men were employed. In how many days would the remaining work be done.
The correct option is C.
let 1 men does 1 unit of work per day
So Total work: 8x12=96units
Work 8 men will do in 6 days =8x6=48 units.
work lelt =96−48=48 units
After 6 days 4 men join.
so total men is 12 men (8+4) they will do 12 unit of work per day
Now,
remaining work completed in
=48/12
= 4 days
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but left after 3 days. The remaining work will be done by A in
The correct option is A.
Since B can do the work in 9 days but only worked 3 days, he’s done 3/9 (1/3) of the work.
Since C can do the work in 12 days but only worked 3 days, he’s done 3/12 (1/4) of the work.
So 1/3 + 1/4 of the work is done… 7/12 of the work in total. That leaves A to do 5/12 of the work. Since he can do the whole job in 24 days, he can do the remaining 5/12 in 10 days ((5/12) * 24 = 10).
A can do a work in the same time as B and C together can do it. If A and B together can do it in 10 days and C alone in 50 days, then B alone can do the work in
A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. A alone can do the work in
If 12 men and 16 boys can do a piece work in 5 days, 13 men and 24 boys can do it in four days then the ratio of the work done daily by a man and a boy is?
A and B can weave a carpet in 10 days and 15 days respectively. They begin to work together but B leaves after 2 days. In what time will A complete the remaining work.
Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the same work in 4 days. How much will Ram get if both work together and are paid Rs. 180 in all.
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
Suppose A, B and C take 
days respectively to finish work.
So, B takes (12/2) = 6 days to finish the work.
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