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vampirchik [111]
4 years ago
6

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

ours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?
Mathematics
1 answer:
dem82 [27]4 years ago
7 0

Answer:

5 hours after they start.

Step-by-step explanation:

The distance between the cities Atlanta and Indianapolis is 540 miles.

If a motorcycle's speed is 48 mph, then time taken by motorcycle = Distance / Speed = 540 miles / 48 mph = 11.25 hours.

For a car it takes 2.25 hours less to cover same distance than for the motorcycle. Then time taken by car = 11.25 - 2.25 = 9 hours.

Speed of car = Distance / Time = 540 miles / 9 hours = 60 mph.

If they start moving towards each other simultaneously, then the time when they meet = Distance / (sum of speeds) = 540 miles / (60+48) mph = 540 miles / 108 mph = 5 hours.

Hence, it takes them 5 hours to meet after they start moving towards each other simultaneously.

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Answer:

  • 124 in

Step-by-step explanation:

Use ratios to find x and y, then find AB and GH, them sum up the lengths.

<u>Find x:</u>

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  • x = 8 in

<u>Find y:</u>

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  • y = 15*16/12
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<u>Find AB:</u>

  • y - 14 = 20 - 14 = 6 in

<u>Find GH:</u>

  • 5x - 3 = 5*8 - 3 = 37 in

<u>Find the perimeter:</u>

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3 years ago
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A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
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Step-by-step explanation:

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4 0
2 years ago
Sue walked from her home to her school at a constant rate of 2 miles per hour, picked up her bicycle and rode back at a constant
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1. Use the graph of the rational function
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Answer:

As x \to -3^{+}, f(x) \to -\infty

Step-by-step explanation:

Given:

From the graph, we can conclude that:

The function has vertical asymptotes at x=-3\ and\ x=2

The function has horizontal asymptote at f(x)=0

Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.

Now, as x \to -3^{+} means the right hand limit of the function at x=-3

From the graph, the right hand limit is the right side of the asymptote of the function at x = -3. The right side shows that the function is tending towards negative infinity.

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