An SAT Math micro-topic under Linear relationship word problems (Algebra). Free to read — no account needed.
Time uses a chain of units. 60 seconds =1 minute, 60 minutes =1 hour, and 24 hours =1 day. Because the steps are fixed, you can convert between them by multiplying or dividing.
To change a larger unit into a smaller one, multiply. For example, 2 hours =2×60=120 minutes. To go the other way, divide: 150 minutes =150÷60=2 hours 30 minutes.
To find elapsed time, count from the start time to the end time in steps. From 9:50 to 1:20, first go to 10:00 (that is 10 minutes), then to 1:00 (that is 3 hours), then to 1:20 (that is 20 minutes). Altogether that is 3 hours 30 minutes.
Time also appears in rate problems, where distance=speed×time. Rearranged, time=speeddistance. So a trip of 150 miles at 50 miles per hour takes 50150=3 hours.
Worked examples
How many minutes are in 2 hours 45 minutes? Convert the hours to minutes: 2×60=120 minutes. Add the extra 45 minutes: 120+45=165 minutes.
A movie starts at 7:40 PM and ends at 9:25 PM. How long is it? From 7:40 to 9:40 is 2 hours. But it actually ends at 9:25, which is 15 minutes before 9:40. So the movie runs 1 hour 45 minutes.
A cyclist rides 36 miles at a steady speed of 12 miles per hour. How long does the ride take? Time is distance divided by speed. So it takes 1236=3 hours.
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