Abel leaves for a vacation destination 1000 miles away driving 50 miles per hour. An hour later Alice leaves from the same point for the same destination, traveling 40 miles per hour. How much earlier does Abel reach the destination in minutes??
Thoughts? Step-by-step reasoning:
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If Abel needs to travel 1000 miles going 50 miles per hour, this means it will take him 1000 / 50 = 20 hours to get there. If Alice needs to travel 1000 miles going 40 miles per hour, this means it will take her 1000 / 40 = 25 hours to get there. Since there are 60 minutes in an hour, this means it will take Abel 20 * 60 = 1200 minutes to arrive. Similarly, this means it will take Alice 25 * 60 = 1500 minutes to arrive. This means Abel arrives 1500 - 1200 = 300 minutes before Alice if they both leave simultaneously. However, since Abel had a head start of 1 hour, which is 60 minutes, this means Abel arrives 300 + 60 = 360 minutes ahead of Alice.
Thus, the answer is 360.
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