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A juice factory begins production at 8:00 a.m. A worker is asked to check the total number of bottles capped before going to lunch. At 12:00 p.m., 1600 bottles of juice had been capped. He checks the number of bottles capped a second time halfway between the beginning of his lunch break and the end of his day. In total, 3600 bottles of juice were capped by the time the factory closed at 5:00 p.m.

• What time did the worker check the second time?

• How many bottles had been capped at that time?

Sagot :

ajinems
  • The worker checked the second time at 2.30 p.m.
  • The bottles that has been capped at that time is 2600 bottles.

The production start time = 8:00am (8 hours of the day)

Lunch time = 12:00pm ( 12 hours of the day)

Factory closing time = 5:00pm ( 17 hours of the day)

The difference between the lunch time and closing time= 17 - 12

                                                                                             = 5 hours.

He checks the number of bottles capped a second time halfway between the beginning of his lunch break and the end of his day =12 +  [tex]\frac{5}{2}[/tex]

                                                                                             = 12 + 2.5 hours

                                                                                             = 14.5 hours

                                                                                             = 2: 30pm

From production start time to lunch time = 12 - 8

                                                                    = 4 hours

Therefore, in 4 hours 1600 bottels were capped

1 hour = [tex]\frac{1600}{4}[/tex]

           = 400 bottles

Therefore the number of bottles that would be capped when the worker checked the second time should be = start time to lunch time + halfway between the beginning of his lunch break and the end of his day × 400 bottles.

      = (4 + 2.5) × 400

       = 1600 + 1000

       =2600 bottles

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