A machine P can print one lakh books in 8 hours, machine Q can print the same nu

CuriousTab

CuriousTab

Home Aptitude

Discussion

Home ‣ Aptitude ‣ Time and Work See What Others Are Saying!

Question
A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?
Options
A. 11:30 A.M.
B. 12 noon
C. 12:30 P.M.
D. 1:00 P.M.

Correct Answer

1:00 P.M.

Explanation

(P + Q + R)'s 1 hour's work =	❨	1	+	1	+	1	❩	=	37	.
		8		10		12			120

Work done by P, Q and R in 2 hours =	❨	37	x 2	❩	=	37	.
		120				60

Remaining work =	❨	1 -	37	❩	=	23	.
			60			60

(Q + R)'s 1 hour's work =	❨	1	+	1	❩	=	11	.
		10		12			60

Now,	11	work is done by Q and R in 1 hour.
	60

So,	23	work will be done by Q and R in	❨	60	x	23	❩	=	23	hours ≈ 2 hours.
	60			11		60			11

So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

More questions

1.
A, B and C are employed to do a piece of work for $575. A and C are supposed to finish 19 / 23 of the work together. Amount shall be paid to B is:
Options
A. $210
B. $100
C. $200
D. $475

2. Which one of the following can't be the square of natural number?
Options
A. 32761
B. 81225
C. 42437
D. 20164
E. None of these

3.
A number gets reduced to its one-third, when 48 is subtracted from it. What is two-third of that number?
Options
A. 24
B. 72
C. 36
D. None of these

4. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:
Options
A. 14 ²⁄₇% gain
B. 15% gain
C. 14 ²⁄₇% loss
D. 15 % loss

6. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
Options
A. 65 sec
B. 89 sec
C. 100 sec
D. 150 sec

7.
X can completed a job in 12 days. If X and Y work together, they can complete the job in 6 ²/ ₃ days, Y alone can complete the job in
Options
A. 10 days
B. 12 days
C. 15 days
D. 18 days

8. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Options
A. 3.6
B. 6
C. 18
D. Cannot be determined
E. None of these

9. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Options
A. 23 m
B. 23 ²⁄₉ m
C. 27 ⁷⁄₉ m
D. 29 m

10.
Find the number of ways, in which 12 different beads can be arranged to form a necklace .
Options
A. 11 !/2
B. 10 !/2
C. 12 !/2
D. Couldn't be determined

Comments

There are no comments.

More in Aptitude: