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slava [35]
3 years ago
8

Train a is 14 mph slower than train B. Train A travels 220 miles in the same time train B travels 290 miles. Find the speed of b

oth trains
Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0
Recall your d = rt, distance = rate * time

if say train B has a speed of "r", then A has a speed of "r-14".

now, they each travelled those miles in the same time, say "t" hours.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&-----&---&----\\
\textit{Train A}&220&r-14&t\\
\textit{Train B}&290&r&t
\end{array}
\\\\\\
\begin{cases}
220=t(r-14)\\
290=rt\implies \frac{290}{r}=\boxed{t}\\
----------\\
220=\boxed{\frac{290}{r}}(r-14)
\end{cases}
\\\\\\
220=\cfrac{290(r-14)}{r}\implies 220r=290r-4060\implies 4060=70r
\\\\\\
\cfrac{4060}{70}=r\implies 58=r

how fast is Train A?  well, r - 14.
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makvit [3.9K]

Answer:

20

Step-by-step explanation:

which side is x ? the Hypotenuse - the side opposite of the 90 degree angle ? or is it one side touching the 90 degree angle ?

that is important. we need to know which side is the Hypotenuse to make the right calculations.

if I assume x is the Hypotenuse, then the calculation follows Pythagoras like this

x² = 12² + 16² = 144 + 256 = 400

x = sqrt(400) = 20

but just in case, if x is a side touching the 90 degrees angle, then the would look like this (depending on which of the other sides is the Hypotenuse)

either

12² = 16² + x²

144 = 256 + x²

-112 = x²

that did not work. a square root of a negative number did not work for actual distances.

or

16² = 12² + x²

256 = 144 + x²

112 = x²

x = sqrt(112) = 10.58

6 0
3 years ago
PLEASE HELP! (WILL GIVE BRAINILEST ANSWER)
RoseWind [281]
A) we know, all the angles in a triangle is equal to 180
So, 35 + 52 + 3(x + 2) = 180
87 + 3x + 6 = 180
3x = 180 - 93
x = 87/3
x = 29

b) Now, Angle C = 3(x + 2)
C = 3(29 + 2)
C = 3(31)
C = 93

Hope this helps!
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katrin [286]
Ok so The answer is 20
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