Time & Work Questions
Varun Gupta
then y men working y hours per day would be able to complete in y
days:
(a) x2/y3 units of work
(b) x3/y2 units of work
(c) y2/x3 units of work
(d) y3/x2units of work
Q2. A man can do a piece of work in 60 hours. If he takes his son with
him and both work together then the work is finished in 40 hours. How
long will the son take to do the same job, if he worked alone on the
job?
(a)20 hours
(b)120 hours
(c)24 hours
(d)None of these
Q3. If 5 men working 6 hours a day can reap a field in 20 days, in how
many days will 15 men reap the field, working 8 hours a day?
(a)5 days
(b)6 days
(c)7-1/2 days
(d)9 days
Q4. A completes 2/3 of a certain job in 6 days. B can complete 1/3 of
the same job in 8 days and C can complete 3/4 of the work in 12 days.
All of them work together for 4 days and then A and C quit. How long
will it take for B to complete the remaining work alone ?
Q5. Raju is twice as good as vijay. Together, they finish the work in
14 days. In how many days can Vijay alone do the same work?
Q6. Pipe A fills a tank of 700 litres capacity at the rate of 40
litres a minute. Another pipe B fills the same tank at the rate of 30
litres a minute. A pipe at the bottom of the tank drains the tank at
the rate of 20 litres a minute. If pipe A is kept open for a minute
and then closed and pipe B is kept open for a minute and then closed
and then pipe C is kept open for a minute and then closed and the
cycle repeated, how long will it take for the empty tank to overflow?
(a)42 minutes
(b)14 minutes
(c)39 minutes
(d)None of these
Q7. In a hospital there is a consumption of 1350 litres of milk for 70
patients for 30 days. How many patients will consume 1710 litres of
milk in 28 days?
(a)59
(b)85
(c)95
(d)105
Q8.If A,B and C can finish a job in 10 days and then D joins them and
he can finish the job in 15 days how long will it take them to finish
4 times the same amount of work.
Q9. If the rent for grazing 40 cows for 20 days is Rs 370, how many
cows can graze for 30 days on Rs 111?
(a)6
(b)8
(c)5
(d)12
Q10. If A,B and C can finish a job in 10 days and then D joins them
and he can finish the job in 15 days how long will it take them to
finish 4 times the same amount of work.
Q11. 15 men could finish a piece of work in 210 days. But at the end
of 100 days, 15 additional men are employed. In how many more days
will the work be complete?
Q12.One machine can complete a job in 10 minutes. If this machine and
an older machine do the same job together, the job can be completed in
6 minutes. How long would it take the older machine to do the job?
Q13. A can do a piece of work in 6 days, B in 8 days and C in 12 days
, B & C together do the work for 2 days and then C is replaced by A.
Find the total time required to finish the work?
Q14.A software company is getting ready to release a new product. A QA
Director is notifired the following. A Junior Vertification Engineer
takes one hour longer to fix a bug (in the code) than ittakes a Senior
Engineer. If they can fix the bug in 5 hours working together, how
long would it take each Engineer to finish the task by themselves?
Q15. If 4 examiners can examine a certain number of answer books in 8
days by working 5 hours a day; for how many hours a day would 2
examiners have to work in order to examine twice the number of answer
books in 20 days?
(a)6 hours
(b)8 hours
(c)9 hours
(d)7-1/2 hours
Q16.A can do a work in 10 days and B can do the same work inb 20 days.
They work together for 5 days and then A goes away. In how many more
days will B finish the work?