What time does a 12-hour clock reada) 80 hours after it

Chapter 4, Problem 11E

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QUESTION:

Problem 11E

What time does a 12-hour clock read

a) 80 hours after it reads 11:00?

b) 40 hours before it reads 12:00?

c) 100 hours after it reads 6:00?

Questions & Answers

QUESTION:

Problem 11E

What time does a 12-hour clock read

a) 80 hours after it reads 11:00?

b) 40 hours before it reads 12:00?

c) 100 hours after it reads 6:00?

ANSWER:

Solution:

Step 1:

 Note: The time that a 12-hour clock will read after a given time period is given by the formula is

.

 Division algorithm:If and  , then there are unique integers q and r , with , such that

Here d is called the divisor.

         a is called the dividend.

         q is called the quotient.

         r is called the remainder.

Note that the remainder is non negative , and less than the divisor.

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