Terrence walks at a pace of 2mi/h to the theater and watches a movie for 2 h and 15 min. He rides back home, taking the same rou
te, 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?
1 answer:
Answer:
The answer to your question is the theater is 6.7 mi from home
Step-by-step explanation:
Data
speed 1 = 2 mi/h
time in theater = 2h 15 min
speed 2 = 40 mi/h
time = 3.5 h
Process
1.- Write the formula to calculate speed
speed = distance / time
-Solve for time
time = speed x time
2.- Write and equation to solve this problem
total time = time from home to theater + time from theater to home
3.- Substitution
3.5 = d/2 + d/40
4.- Solve for d
3.5 = (20d + d) / 40
140 = 21d
d = 140 / 21
d = 6.7 mi
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