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

## Problem 11E Chapter 4.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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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?

Step-by-Step Solution:
Step 1 of 3

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.

Step-2:

a)In this  problem we need to find that what does a 12-hour clock read after 80 hours.

Given: 80 hours after it reads 11:00

Current time = 11:00 , and number of hours = 80.

The time that a 12-hour clock will read  after 80 hours

, since by the note

91  is divided by 12 means 91 = 12(7)+7 , here remainder is 7.Since...

Step 2 of 3

Step 3 of 3

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