Rarabolola mathata a mangwe le a mangwe. Dirisa mela ya nako go thusa.

let's solve these time problems and show how to use the number lines.

a. Queenie's visit

• Problem: Queenie visits her father starting at 15:45 and leaves at 17:15. How long did she visit?

• Step 1: Calculate the duration.

  • From 15:45 to 16:00 is 15 minutes.
  • From 16:00 to 17:00 is 1 hour.
  • From 17:00 to 17:15 is 15 minutes.
  • Total duration: $15 \text{ minutes} + 1 \text{ hour} + 15 \text{ minutes} = 1 \text{ hour } 30 \text{ minutes}$.
  • This can also be written as $1\frac{1}{2}$ hours.

• Step 2: Draw on the number line.

  • Mark $15:45$ on the left side of the number line.
  • Draw a jump of $+15 \text{ minutes}$ from $15:45$ to $16:00$.
  • Draw a jump of $+1 \text{ hour}$ from $16:00$ to $17:00$.
  • Draw a jump of $+15 \text{ minutes}$ from $17:00$ to $17:15$.
  • The total time elapsed is $1 \text{ hour } 30 \text{ minutes}$.

• Answer: O eta lobaka lo lo kae? $\boxed{1 \text{ ura } 30 \text{ metsotso}}$ or $\boxed{1\frac{1}{2} \text{ diura}}$.

b. Musa at the park

• Problem: Musa goes to the park at 10:45 and comes home at 12:30. How long was he away?

• Step 1: Calculate the duration.

  • From 10:45 to 11:00 is 15 minutes.
  • From 11:00 to 12:00 is 1 hour.
  • From 12:00 to 12:30 is 30 minutes.
  • Total duration: $15 \text{ minutes} + 1 \text{ hour} + 30 \text{ minutes} = 1 \text{ hour } 45 \text{ minutes}$.

• Step 2: Draw on the number line.

  • Mark $10:45$ on the left side of the number line.
  • Draw a jump of $+15 \text{ minutes}$ from $10:45$ to $11:00$.
  • Draw a jump of $+1 \text{ hour}$ from $11:00$ to $12:00$.
  • Draw a jump of $+30 \text{ minutes}$ from $12:00$ to $12:30$.
  • The total time elapsed is $1 \text{ hour } 45 \text{ minutes}$.

• Answer: O tsamaile lobaka lo lo kae? $\boxed{1 \text{ ura } 45 \text{ metsotso}}$. Your answer is correct.

c. Tumi studying

• Problem: Tumi starts studying at 13:15 and finishes at 14:45. How long did Tumi study?

• Step 1: Calculate the duration.

  • From 13:15 to 14:15 is 1 hour.
  • From 14:15 to 14:45 is 30 minutes.
  • Total duration: $1 \text{ hour} + 30 \text{ minutes} = 1 \text{ hour } 30 \text{ minutes}$.
  • This can also be written as $1\frac{1}{2}$ hours.

• Step 2: Draw on the number line.

  • Mark $13:15$ on the left side of the number line.
  • Draw a jump of $+1 \text{ hour}$ from $13:15$ to $14:15$.
  • Draw a jump of $+30 \text{ minutes}$ from $14:15$ to $14:45$.
  • The total time elapsed is $1 \text{ hour } 30 \text{ minutes}$.

• Answer: Tumi o ithuta lobaka lo lo kae? $\boxed{1 \text{ ura } 30 \text{ metsotso}}$ or $\boxed{1\frac{1}{2} \text{ diura}}$. Your answer is correct.