Number of Questions:
14
level of difficulty:
Tricky Q1. A pump can be used either to fill or to empty a tank. The capacity of the tank is 3600 m3. The emptying capacity of the pump is 10 m3/min higher than its filling capacity. What is the emptying capacity of the pump if the pump needs 12 more minutes to fill the tank than to empty it? Q2. A men employs 10 laborers for 3 weeks for wages amounting to Rs. 1470. What would be total wages payable if 2 labrores do not turn up for the last 2 weeks? Q3. If Raghu can walk a distance of 5 kms in 20 minutes, how long he can go in 50 minutes: Q4. If 8 men, working 9 hours a day can build as wall 18 metres long, 2 metres broad and 12 metres high in 10 days, how many men will be required to build a 32 metres long, 3 metres broad and 9 metres high, by working 6 hours a day, in 8 days? Q5. A can do a piece of work in 20 days. He works at it for 5 days and then B finishes it in 10 more days. In how many days will A and B together finish the work? Q6. If 9 men working 7-1/2 hours a day can finish a work in 20 days; then how many days will be taken by 12 men, working 6 hours a day to finish the work; it being given that 3 men of latter type work as much as 2 men of the former type in the same time? Q7. A contract is to be completed in 56 days and 104 men were set to work, each working 8 hours a day. After 30 days 2/5 of the work is completed. How many additional men may be employed, so that the work may be completed in time, each man now working 9 hours a day? Q8.A and B can do a piece of work in 21 and 24 days respectively. They started the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave? Q9. A pipe can fill a tank in X hours and another can empty it in Y hours. If the tank is 1/3rd full then the number of hours in which they will together fill it in is Q10. If (4/5)th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it? Q11. It takes bill 9 hours to paint a house and jim 7 hours to do the same job. how long will it take both people working together? Q12. If a certain number of workmen can do a piece of work in 25 days, in what time will another set of an equal number of men do a piece of work twice as great, supposing that 2 of the first set can do as much work in an hour as 3 of the second set can do in an hour? Q12. Working alone, Maria can complete a task in 100 minutes. Shaniqua can complete the same task in two hours. They work together for 30 minutes when Liu, the new employee, joins and begins helping. They finish the task 20 minutes later. How long would it take Liu to complete the task alone? Q13. Joe and Fred are linemen. Joe can string 10 miles of line in 3 days while together they can string it in 1 day. How long would it take Fred alone to string the same line? Q14. There are 12 pipes that are connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6 hours. If all the fill pipes and drain pipes are kept open, an empty tank gets filled in 24 hours. How many of the 12 pipes are fill pipes?
|
|||
|
|
Q13. Joe and Fred are linemen. Joe can string 10 miles of line in 3 days while together they can string it in 1 day. How long would it take Fred alone to string the same line?
ANS:
Joe in 1 day : 10/3
Together in 1 day: 10
So Fred in 1 Day : 10 - 10/3 = 20/3
To string 10 miles Fred alone 'll take 10/(20/3) = 1.5 Days
n/a
Q12. If a certain number of workmen can do a piece of work in 25 days, in what time will another set of an equal number of men do a piece of work twice as great, supposing that 2 of the first set can do as much work in an hour as 3 of the second set can do in an hour?
(a)60 days
(b)75 days
(c)90 days
(d)105 days
Ans:
2 women = 3 men
=> 1 man = 2/3 of 1 woman
if 1 woman take 25 days then 1 man would take 3/2 x 25 days
and to complete the work twice the man would take 3/2 x 25 x 2 days
= 75 days
Q9. A pipe can fill a tank in X hours and another can empty it in Y hours. If the tank is 1/3rd full then the number of hours in which they will together fill it in is
Ans:
pipe 1 can fill a tank in X hours
pipe 1 does 1/X job in 1 hour
pipe 2 can fill a tank in Y hours
pipe 2 does 1/Y job in 1 hour
Total job done in 1 hr = 1/X + 1/Y
The tank is 1/3rd full, So to full another 2/3rd part time taken 'll be
2/3
(1/x + 1/y)
=2xy / 3(x+y)
1) Let in 1 min. the amount filled is "x" m^3.
So, in 1 min. the amount emptied is (X+10) m^3.
The time required to fill the tank of 3600 capacity is 3600/x
& to empty of the same capacity is 3600/(x+10)
The difference b/w the two time is 12 mins.
So, 3600/(x+10)-3600/x =12.
Solving,will give value as 50 m^3 /mins.
Ans:(a)
n/a
Ans: (3) 12.5 km
(4) 30 men.
n/a
10)
4/5 th of a cistern can be fill in 1 min.
So,1/5 th of the cistern will be filled in 1/4 min.
=14x60=15 seconds.
so, Ans: (b)
n/a
9)
The tank is 1/3 rd full so we just have to full the rst of 2/3 rd tank.
Time taken to fill the tank is X hrs . and to empty is Y hrs.
Let the time required to fill the rest of th tank be "h" hrs. so,
h(1/X-1/Y)=2/3.
so,h=2XY/3(Y-X).
n/a
Let A left after x days.
So,
x/21+(x+9)/24=1
Solving, x=7
So,Ans: (b)
n/a
it is asking for emptying capacity= X+10=60
Ans b Bcoz it asked the Empting capacity