Once we can tell the time on clocks, we can calculate times in the future or in the past. For example, if it was $3$3 p.m., half an hour later would be $3:30$3:30 p.m.
What time is shown on this clock?
Think: The hour hand is pointing between the $9$9 and the $10$10, which means it's in the $9$9th hour. The minute hand is pointing at the $7$7, which, using the counting method, is $35$35 minutes.
Do: The time is $9:35$9:35.
If the time now is the time displayed on the clock below:
a) What time is $2$2$\frac{1}{4}$14 hours from now?
Think: The current time is $3:30$3:30. Let's break up the time and add the hours then the minutes.
In $2$2 hours, it will be $5:30$5:30.
Another $15$15 minutes ($\frac{1}{4}$14 of an hour) will be $5:45$5:45.
Do: $5:45$5:45
b) What time is $5$5 hours and $20$20 minutes from now?
Think: We need to add $5$5 hours, then $20$20 minutes on to $3:30$3:30.
$5$5 hours after $3:30$3:30 is $8:30$8:30.
$20$20 minutes after $8:30$8:30 is $8:50$8:50.
Do: $8:50$8:50
c) What time is $3$3 hours and $42$42 minutes from now?
Think: This time I am going to add the minutes then the hours.
$42$42 ($30+12$30+12) minutes after $3:30$3:30 is $4:12$4:12.
$3$3 hours after $4:12$4:12 is $7:12$7:12.
Do: $7:12$7:12