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prohojiy [21]
3 years ago
14

The sum of the speeds of two trains is 724.8 miles per hour. If the speed of the first train is 9.2 mph faster than that of the

second train, find the speeds of each.
What is the speed of the first train?
(Type an integer or a decimal.)
Mathematics
1 answer:
olasank [31]3 years ago
8 0

Answer:

The slower train's speed is 359.8 mph

x+5.2mph=359.8mph+5.2mph=365 mph ANSWER 2: The faster trains speed is 365 mph.

CHECK:

359.8 mph + 365 mph = 724.8 mph

724.8 mph = 724.8 mph

Step-by-step explanation:

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92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
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