Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
Answer:
Yes, both have the same value ( 20) when x = 5.
Step-by-step explanation:
We have two functions:
y = 15 + x
y = 4*x
We want to see if these functions have the same value when x = 5.
Then we just need to replace x by 5 in both equations, and see if the values of y are the same
first function:
y = 15 + 5 = 20
second function:
y = 4*5 = 20
So yes, both functions are equal to 20 when x = 5.
C represents Celsius and F represent Fahrenheit.
Hope this helps!
Answer:
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Step-by-step explanation:
