A engine for a car can be manufactured in a factory every 35 minutes. The factory starts production at 8:45 and stops at 16:55.
(i) Find the number of engines that can be produced in a single working day.
After a refit of the factory, an engine can be produced 4 minutes more quickly than before.
(ii) Find the number of completed engines that can now be produced in a single day?
I really need help with these questions!!! Please help!
Faith/Vanessa -- I wonder why I took the time and effort to answer most of this question below if you don't even bother responding to it.
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a work day has 15+60*7+55 = 485 minutes
(1) 485/35 = 13.8
(ii) 485/31 = 15.6
Oops. That's 490, as Ms. Sue said, but the answers stay the same.
Sure! I will explain step by step how to solve these questions.
(i) To find the number of engines that can be produced in a single working day, we need to calculate the number of production cycles that can be completed between 8:45 and 16:55.
First, let's calculate the total working time in minutes:
Start time: 8:45
End time: 16:55
Convert the start and end times to minutes:
Start time = 8 * 60 + 45 = 525 minutes
End time = 16 * 60 + 55 = 1015 minutes
Now, let's calculate the working time in minutes:
Working time = End time - Start time = 1015 - 525 = 490 minutes
Next, we need to calculate the number of production cycles that can be completed in the working time.
Each production cycle takes 35 minutes.
Number of engines produced in a single working day = Working time / Production cycle time
Number of engines produced in a single working day = 490 / 35 = 14 engines
Therefore, in a single working day, 14 engines can be produced.
(ii) To find the number of completed engines that can now be produced in a single day after the refit, we need to consider the reduced production time.
After the refit, an engine can be produced 4 minutes more quickly than before. This means the new production cycle time is 35 - 4 = 31 minutes.
Now, we follow the same steps as in part (i) to calculate the number of production cycles.
Working time = 490 minutes (as calculated in part i)
Production cycle time = 31 minutes (after refit)
Number of engines produced in a single working day = Working time / Production cycle time
Number of engines produced in a single working day = 490 / 31 = 15.81 engines (rounded to two decimal places)
Since we can't have a fraction of an engine, we round this number down to the nearest whole number.
Therefore, after the refit, the number of completed engines that can be produced in a single day is 15 engines.
I hope this explanation helps! Let me know if you have any further questions.