Time and Work Problems for SSC CGL Set 66

Submitted by Atanu Chaudhuri on Sat, 20/05/2017 - 12:01

SSC CGL Time and Work Problems with answers Set 66

Time work wages, Time and Work Problems for SSC CGL Set 66 to solve in 12 minutes. Verify correctness from answers. Learn to solve from solutions.

Contents are,

10 selected Time and work problems for SSC CGL. These can easily be used for bank POs and other competitive exams.
The problems cover Time and work, Time work wages and Pipes and cisterns that all are essentially time and work problems.
Answers to the time and work problems set.

After doing this exercise in a timed session, you should refer to its solution set for detailed concepts and ways to solve the problems in mind as far as possible.

Answers and link to the solutions are at the end.

10 Time and work problems including Time work wages and Pipes cisterns problems for SSC CGL Set 66—time 12 mins

Problem 1.

A pipe takes 36 hours more than its normal time of filling a cistern due to a leak at the bottom of the cistern. If the pipe inflow rate is double the leak outflow rate, how many hours would the pipe alone take to fill the cistern completely without the leak?

Problem 2.

A and B working alone 7 hours a day can complete a job in 8 days and 6 days respectively. In how many days would they finish the job if they work together 8 hours per day?

Problem 3.

If 8 men working together 8 hours per day for 8 days produce 8 units of work, the units of work produced by 4 men working together 4 hours per day for 4 days is,

$1$
$4$
$\displaystyle\frac{1}{2}$
$\displaystyle\frac{1}{4}$

Problem 4.

A can do a job in 20 days, while A and B together do it in 15 days. If they are paid Rs.400 for the job, what is the share of B?

Rs.300; Rs.100
Rs.350; Rs.50
Rs.150; Rs.250
Rs.200; Rs.200

Problem 5.

A cistern is filled up by two inlet pipes, working separately, in 30 mins and 20 mins respectively, while it is filled up in 18 mins with both pipes working together but the second pipe closed off after some time. After how much time is the second pipe closed?

12 mins
8 mins
5 mins
10 mins

Problem 6.

Working 9 hours a day for 20 days a team of 8 men finish a job completely. How many days would a team of 7 men take to complete the same job working for 10 hours a day?

$20\displaystyle\frac{4}{7}$
$20\displaystyle\frac{1}{2}$
$20\displaystyle\frac{3}{5}$
$20\displaystyle\frac{3}{7}$

Problem 7.

Three inlet pipes to a cistern with diameters $2$cm, $1$cm and $1\displaystyle\frac{1}{3}$cm fill the cistern with inflow rate of each pipe proportional to the square of its diameter. If the pipe with the largest diameter can fill the cistern working alone in 61 mins, how much time will be taken by the three pipes to fill the cistern working together?

36 mins
32 mins
38 mins
34 mins

Problem 8.

In 18 days, working together, A, B and C earn a sum of Rs.2700. If on the same job, B and C together earn Rs.1520 in 20 days and, C and A together earn Rs.940 in 10 days, how much does C earn in a day?

Rs.40
Rs.15
Rs.10
Rs.20

Problem 9.

Working 6 hours a day, 12 pumps can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day can empty the same completely filled reservoir in 12 days?

Problem 10.

A cistern is filled by three inlet pipes A, B, and C working together for 6 hours. Once, after the three work together for 2 hours, the pipe C is closed and then on, the pipes A and B fill the remaining part in 7 hours. How much is then the time taken by C alone to fill the cistern?