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During each day last week, A person get paid at $12 each hour for the first 8 hours and then 1.5times of this rate each hour after 8 hours. How many hours did John work last Tuesday?
1) On Tuesday, John worked more than 4 hours than Monday, and got $48 more paid.
2) On Wednesday, John worked more than 3 hours than Tuesday, and got $48 more paid.
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For less than or equal to 8 hours --> payment=12X
For more than 8 hours --> payment=96+(X-8)18
St 1 is suff.:
Since the difference is 4 hours and payment 48, 48/4=12 which is the hourly rate for <=8. So, he worked 4 hours on monday and 8 hours on tuesday.
____________________
BUT, what if he didn't work at all on monday? So he might have worked only 4 hours on Tuesday.
____________________
St 2 is suff:
the difference in payment is 48, so 48/3 = 16, which is more than hourly payment rate for <8 but less than that for 8<. So he must have worked more than 8 hours but less than 11 hours. Only 10 satisfies st.2.
The answer is D.
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.