Clock Word Problems: Problem 1

Problem: In a factory, there is a broken clock. It takes 69 minutes every time the hour and minute hand overlaps. The normal shift for a worker there is 8 hours, and are paid four dollars per hour of work. If a worker decides to work extra after his/her shift, the payment will be six dollars per hour of work. If a worker works one normal shift according to this clock, what should be the actual payment given to him?

Key: Here we have an example of a 'broken' clock. This means that the ratio of minutes hours is different than the accurate clock. Use ratios to help you.

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