Pablo runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
2 answers:
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Answer:
The circumference of the yellow circle is or
approximately, the circumference of the blue circle is
or
approximately, the circumference of the green circle is
or
approximately, the circumference of the red circle is
or
approximately, and the circumference of the pink circle is
or
approximately.
Step-by-step explanation:
To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by . In this case, the circumferences of the yellow circle are
or approximately
, the circumference of the blue circle is
or approximately
, the circumference of the green circle is
or approximately
, the circumference of the red circle is
or approximately
, and the circumference of the pink circle is
or approximately
.
Answer:
15 miles per hour is the speed of the slower train.
Step-by-step explanation:
As given in the figure attached,
Let the speed of train 1 is v and train 2 is u.
Therefore, distance traveled in 2 hours by train 1 will be = 2v miles
and distance traveled by train 2 will be = 2u miles
Now we can see in the figure a right angle triangle is formed by the two trains.
AB² + BC² = AC²
(2v)² + (2u)²= (65.30)²
4v² + 4u² = 4264.09
Now we divide this equation by 4
v² + u² = 1066.02
If speed of the slower train is v miles per hour then as per statement of the question.
u = v - 14
v = u + 14
By putting the value of v in the equation
(u + 14)² + u² = 1066
u² + 196 + 28u + u² = 1066
2u² + 28u + 196 = 1066
2u² + 28u + 196 - 1066 = 0
2u² + 28u - 870 = 0
By diving this equation by 2
u² + 14u - 435 = 0
u² + 29u - 15u - 435 = 0
u(u + 29) - 15(u + 29) = 0
(u + 29)(u - 15) = 0
u = -29, 15
Since speed can not be with negative notation so u = 15 miles per hour will be the speed.
Therefore, 15 miles per hour is the speed of the slower train.
