Terrence walks at a pace of 2 mi/h to the theater and watches a movie for 2 h and 15 min. He rides back home, taking the same route, on the bus that travels at a rate of 40 mi/h. The entire trip takes 3.5 h. How far along this route is Terrence’s house from the theater? Explain
mklancehernandez:
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Answers
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Find the time taken for the travel:
3.5h - 2h 15 min = 3.5 - 2.25 = 1.25h
Let x be the amount of time take to walk
Time taken to ride = 1.25 - x
Walking:
Distance = Speed x Time
Distance = 2x
Riding:
Distance = Speed x Time
Distance = 40 (1.25 - x)
Since the two distance are the same:
2x = 40 (1.25 - x)
2x = 50 - 40x
42x = 50
x = 25/21 hour
Find distance:
Distance = Speed x Time
Distance = 2 x 25/21 = 2.38 miles
Answer: The house is 2.38 miles away from the theater.
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0
Answer:
2.38 mi/h
Step-by-step explanation:
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