Question

Each morning a deli worker has to make several pies and a bucket of potatoes. On Monday, it took the worker 2 hours to make the pies and an average of 1.5 min to peel each potato. On Tuesday, the worker finished the work in the same amount of time, but it took 2.5 hours to make the pies and an average of 1 min to peel each potato.
What quantities do you know and how are they related to each other?
How can you use the known and unknown quantities to write an equation for this situation?
Solve both.

Answer 1

The quantities include hours and minutes.

The the known and unknown quantities can be used to write an equation and this gives 60 minutes.

How to explain the information?

It should be noted that there are two different units of time measurement and these are hours and minutes. In this case, once can either convert the hours given to minutes or vice versa.

Therefore,

2 hours = 120 minutes, and

2.5 hours = 150 minutes.

If x represents the number of potatoes in the bucket, then the time to peel all of the potatoes on the first day will be 1.5x.

The quantity added to the 120 minutes spent making pies is the total elapsed time for the first day's work. The first days time is equal to the second day. This will be:

120 + 1.5x = 150 + x

1.5x - x = 150 - 120

0.5x = 30

x = 30/0.5 = 60

The time taken is 60 minutes.

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