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weeeeeb [17]
1 year ago
10

Two persons start running simultaneously from a certain point, one towards south and another towards east. After 2 hours, the di

stance between them is 100km. Then, find the speed of the faster person, if the speed of one of them is 75% of the other.
Mathematics
1 answer:
Volgvan1 year ago
6 0

The Pythagorean theorem is sometimes known as Pythagoras' theorem. The speed of the faster person is 40 kmph.

<h3>What is Pythagoras' theorem?</h3>

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Let the speed of one person be represented by x, then the speed of the other person, if the speed of the second person is 75% of the first.

  • Speed of first-person = x
  • Speed of second-person = 75% of Speed of first-person = 0.75x

Now, the distance covered by two persons in 2 hours is,

  • Distance covered by the first-person = x × 2 = 2x
  • Distance covered by the second-person = 0.75x × 2 = 1.5x

Since one person runs towards the south and another towards the east. Therefore, will form a 90° angle between their directions.

Now, the distance between the two after two hours is 100 km, therefore, we can write,

(2x)² + (1.5x)² = 100²

4x² + 2.25x² = 10000

6.25x² = 10000

x² = 10000/6.25

x² = 1600

x = √1600

x = 40

Hence, the speed of the faster person is 40 kmph.

Learn more about Pythagoras' Theorem here:

brainly.com/question/14461977

#SPJ4

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1 year ago
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Answer:

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7 0
3 years ago
The ratio of boys to girls in a class room is 5 to 7. If there are 30 boys then how many girls are there
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Answer:

The ratio of boys to girls to 5:7

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Now just plug in 6 for the x in 7x

and number of girls 7 x 6 = 42

4 0
3 years ago
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USE THE IMAGE ATTACHED BELOW please help me with my work answer it correctly I HAVE SO MUCH WORK DURING QUARANTINE
andrezito [222]

Answer:

Question 1:

a. The answer is B because the graph inclined really quickly and then it inclined at a much slower pace, suggesting that the person was running and then walking.

b. The answer is C because you can see on the graph that after a while, the distance from the starting point goes back to 0, indicating that the person forgot something at home.

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a. The dashed line reaches the bottom at 15:30 so the answer is C.

b. Siobhan travels 8 km to go from home to school so the answer is 2 * 8 = 16 which is option D.

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2 years ago
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