wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
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 the work. Approximately at what time will the work be finished?


A

11.30 a.m.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

12 noon

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

12:30 p.m.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

1 p.m.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
E

11 p.m.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D

1 p.m.


(P+Q+R)’s 1 hour’s work =(18+110+112)=37120

Work done by P, Q and R in 2 hours =(37120×2)=3760

Remaining work =(13760)=2360

(Q+R)’s 1 hour’s work =(110+112)=1160

Now, 1160 work is done by Q and R in 1 hour

So, 2360 work will be done by Q and R in 6011×2360=2311hours=2 hours.

So, the work will be finished approximately 2 hours after 11 a.m., i.e. at around 1 p.m.


flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Time and Work
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon