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Question
A man walks down the road for half an hour at an average speed of 3 miles per hour. He waits 10 minutes for a bus, which him back to his starting point at 3 : 15. If the man began his walk at 2 : 25 the same afternoon, what was the average speed of the bus?
3 mph
4.5 mph
6 mph
9 mph
ANSWER : 4
Descrption
<p style="margin-left:0px;">The man walks down the road for half an hour at an average speed of 3 miles per hour. This means he covers a distance of (3 miles per hour) * (0.5 hours) = 1.5 miles during his walk.</p><p style="margin-left:0px;">He waits 10 minutes for a bus, which takes him back to his starting point at 3:15. This means the bus ride took 3:15 - 2:25 = 50 minutes.</p><p style="margin-left:0px;">We know that during this 50-minute bus ride, the man traveled 1.5 miles.</p><p style="margin-left:0px;">Now, let's calculate the average speed of the bus. We'll convert the time to hours:</p><p style="margin-left:0px;">50 minutes = 50/60 hours = 5/6 hours</p><p style="margin-left:0px;">Average speed of the bus = Distance / Time = 1.5 miles / (5/6 hours)</p><p style="margin-left:0px;">To divide by a fraction, we can multiply by its reciprocal:</p><p style="margin-left:0px;">Average speed of the bus = 1.5 miles * (6/5) hours = 9 miles per hour</p><p style="margin-left:0px;">So, the average speed of the bus is 9 miles per hour.</p><p style="margin-left:0px;">The correct answer is 9 mph.</p>
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