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3 years ago

A car moving at a constant speed travels 88 feet in 2 seconds. Use a proportion to find how many feet it travels in one minute

1 answer:

3 0

88 feet in 2 seconds
how many feet in 1 minute?
1 minute is 60 seconds

so, we can write a proportion and solve
feet/ seconds = feet/seconds
88/2 = x / 60
cross multiply
(88 * 60 ) = 2 * x
5280 = 2x
divide both sides by 2
2640 = x

To check:
88/2 =?= 2640 / 60
44 = 44

So the car travels 2640 feet in 60 seconds, or 1 minute.

(btw just in case you wanted to know also, 2640 feet is equal to 0.5 of a mile, that car travels 0.5 miles in 1 minute)

Hope this helps

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2 years ago

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters

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Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight, we have to find the sum of length of both edges

Let $R_E$ be the distance of route around edges

$R_E = 80+60 = 140\ meters$

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

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$H^2 = P^2 + B^2$

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$H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters$

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

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The route across the park is 40 meter shorter than the route around its edges.

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