Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
12/30 is simplified to 2/5 and<span>number of students trying out the same for both boys and girls</span> 16/40 is also simplified to 2/5 so YES the number of students trying out is the same for both boys and girls. I hope this helps :)
Answer:
Image A shows a rotation.
We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to
2x + y = 92
The value of y in terms of x is equal to,
y = 92 – 2x
The area is the product of the two sides,
A = xy
Substituting,
A = x (92 – 2x) = 92x – 2x2
Solving for the derivative and equating to zero,
0 = 92 – 4x ; x = 23
Therefore, the area of the garden is,
<span> A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>
