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-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...