John went to his friend’s house. For the first 2 hours, he drove at 55 mph. For the next hour, he drove at a speed of 70 mph. For the final 2 hours, he drove at 50 mph. If he drove the entire trip at 70 mph, how much time could he save?
A
1/2 hour
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B
3 hours
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C
1 hour
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D
2 hours
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Solution
The correct option is C1 hour Speed in the first 2 hours =55 mph
Distance traveled in the first 2 hours =2×55=110 miles
Speed in the third hour =70 mph
Distance traveled in the third hour =70 miles
Speed during the last 2 hours =50 mph
Distance traveled in the last 2 hours =2×50=100 miles
Total distance traveled =110 miles +70 miles +100 miles =280 miles
Time taken to travel 280 miles =5 hours
Time taken for traveling 280 miles at the speed of 70 mph =28070=4 hours
John could have saved one hour.