Question: Sam works at the Widget Factory, assembling Widgets. He can assemble 1 widget every 10 minutes. Jack from the loading dock can help assemble widgets when he doesn't have anything else to do. When he helps, they put together 2 complete widgets every 15 minutes. Recently the factory hired Tony to help assemble widgets. Being new to the job, he doesn't work as fast as Sam or Jack. Yesterday Sam worked for 6 hours before he had to leave work early for a dentist appointment. Jack was able to help out for 4 hours before he had to go back to the loading dock to unload a new shipment of widget materials. Tony worked the entire 8-hour shift. At the end of the day, they had completed 68 widgets. How long does it take Tony to assemble a Widget, in minutes?
Answer with step-by-step thinking: Sam completes a widget every 10 minutes. When Jack helps they finish 2 in 15 minutes. Sam has finished 1 widget and has begun working on another one, and Jack finishes the second one at 15 minutes. So it takes Jack 15 minutes to complete a widget. Sam worked for 6 hours yesterday, so he was able to complete 6 hours * 60 minutes per hour / 10 minutes per widget = 36 widgets. Jack worked for 4 hours, so he was able to complete 4 hours * 60 minutes per hour / 15 minutes per widget = 16 widgets. Sam, Jack, and Tony were able to complete 68 widgets together. So of those, Tony personally completed 68 widgets - 36 widgets - 16 widgets = 16 widgets. It took Tony 8 hours to complete those 16 widgets, so he takes 8 hours * 60 minutes per hour / 16 widgets = 30 minutes per widget.
So the answer is 30.


Question: John wants to finish a show in 5 days. There are 20 episodes and they are each 30 minutes long. How many hours does he have to watch a day?
Answer with step-by-step thinking: He wants to watch 20 * 30 = 600 minutes. So he needs to watch 600 / 60 = 10 hours. That means he needs to watch 10 / 5 = 2 hours a day.
So the answer is 2.


Question: Joel’s garden is 64 square feet large. He wants to use half of the garden for fruits and half of the garden for vegetables. He wants to use a quarter of the fruit section for strawberries. How many square feet of the garden will be used for strawberries?
Answer with step-by-step thinking:
The number of square feet used for fruit is 64 / 2 = 32 square feet. The number of square feet used for strawberries is 32 / 4 = 8 square feet.
So the answer is 8.