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bagirrra123 [75]
3 years ago
13

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?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

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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6 0
2 years ago
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Step-by-step explanation:

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3 years ago
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2. A car takes 7 hours 50 minute to travel 549 9/10 km.
lorasvet [3.4K]
2.)

average velocity=(change in distance)/(change in time), in this case:

v=(549 9/10)/(7 50/60)

v=(5499/10)/(470/60)

v=(5499/10)(60/470)

v=32994/470

v=70.2 km/hr

...

picture

Make two position functions...

c=15t, and r=120-20(t-1)

c=15t, r=140-20t

They meet when c=r so:

15t=140-20t  add 20t to both sides

35t=140  divide both sides by 35

t=4

So they will meet 4 hours after Cindy leaves at 1 pm, thus they meet each other at 5 pm.

check...

c=15(4)=60

r=120-20(4-1)

r=120-20(3)

r=60




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3 years ago
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