Time and Equation Problem Solving

The video tutorial presents a mathematical problem where half the time after midnight equals three-fourths of the time left before noon. The instructor guides viewers through setting up an equation to solve for the number of hours after midnight. By manipulating the equation, the solution is found to be 7 hours and 12 minutes, concluding that the time is 7:12 AM.

What is the problem asking you to find?

• The time when the clock strikes twelve.

• The time when half the time before noon equals three-fourths of the time after midnight.

• The time when half the time after midnight equals three-fourths of the time left before noon.

• The time when the sun rises.

What variable is used to represent the number of hours after midnight?

• t

• x

• z

• y

What is the equation used to solve the problem?

• x = 12 - 3/4x

• 1/2x = 3/4(12 - x)

• 1/2x = 12 - 3/4x

• x = 3/4(12 - x)

What is the value of x after solving the equation?

• 8 hours

• 7 and 1/5 hours

• 6 hours

• 7 hours

What time is it when x equals 7 and 1/5 hours?

• 7:12 AM

• 8:00 AM

• 7:00 AM

• 8:12 AM