Today, Sarah traveled from her house to the office at double her usual speed and reached her destination 12 minutes sooner than normal. If Sarah typically drives at a constant speed of 50 miles per hour, what is the distance, in miles, from her house to the office?

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Official Explanation

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Sarah's regular driving speed = 50 mph. Sarah's driving speed TODAY = 100 mph. Let d = the distance from Sarah's house to the office. She arrived at the office 12 minutes earlier than she usually does. We can express this as: regular travel time in hours - 12/60 hours = today's travel time in hours. The formula for time is time = distance/rate, which gives us:…

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Comments

PedroDec 16, 2024

finally understood this

YHJul 8, 2024

Thank for sharing!!!

What this question tests

What it tests

Your application of distance = rate × time to trains, boats, and commuters, including relative speed.

Common trap

Mixing units (miles per hour vs. minutes) or averaging speeds — average speed is total distance over total time.