Machines X Y and Z can manufacture a batch of products in S hours. 10 hours and 12 hours.
respectively. The work of making a single batch of products is started on the machines at 11 AM.
Machine X is stitched off at 1 PM while the remaining two complete the work. By what time will a
single batch of products be made?
Options :
1:00 PM
3.00 PM
2.00 PM
3.30 PM
Answers
Given : Machines X Y and Z can manufacture a batch of products in 8 hours. 10 hours and 12 hours. respectively . The work of making a single batch of products is started on the machines at 11 AM.
Machine X is Switched off at 1 PM
To Find : By what time will a single batch of products be made
Solution:
Machine X takes 8 hours for a batch
Worked for 11 AM to 1 PM = 2 hrs
Batch produced = 2/8 = 1/4
Let say T hr taken to produce a batch
Then Batch produced by Y machine = T/10
Then Batch produced by Y machine = T/12
1/4 + T/10 + T/12 = 1
=> 11T/60 = 3/4
=> 11T = 45
=> T = 45/11
=> T ≈ 4 hrs
4 hrs from 11 AM = 3 PM
But actual time would be 5-6 minutes above 3PM
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