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pashok25 [27]
2 years ago
13

Michael timed a train using a clock. the train traveled a distance of half mile from t = 10 seconds to t = 55 seconds. what was

the speed of the train in feet per second? (round answer to nearest tenth).
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
3 0

Answer:

<em>58.7 ft/sec</em>

Step-by-step explanation:

The train traveled half a mile.

1 mile = 5280 ft

0.5 mile = 0.5 * 5280 ft = 2640 ft

A time from 10 sec to 55 sec is 55 sec - 10 sec = 45 seconds.

2640 ft in 45 seconds

speed = distance/time

speed = 2640 ft / 45 sec = 58.6666... ft/sec

Answer: speed = 58.7 ft/sec

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A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer.

Let x be the speed of the car

Car trip from New York to Cincinnati

We know Distance D = speed * time

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D = 12.5x

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The return trip by the same route took 1 hour longer. So 12.5+1 = 13.5 hours

he average rate of speed was 4 mph less. So speed is x-4

Distance D = speed * time

time = 13.5 hours and speed =x-4

D = (x-4)*13.5

D= 13.5x-54

The distance of ongoing trip and return trip are same

So we equate both the distance equations D= 13.5x-54  and D= 12.5x

12.5x = 13.5x-54    

Subtract  13.5 on both sides

-1x = -54

x=54

speed of ongoing trip = 54 miles per hour

Distance D = 12.5x = 12.5 * 54=675 miles

The length of the route = 675 miles



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