Answer: the speed of the first train is 50 mph.
The speed of the second train is 100 mph.
Step-by-step explanation:
Let x represent the speed of the first train. The second train travels 50mph faster than the first. It means that the speed of the second train is (x + 50) mph.
Distance = speed × time
If the second train overtakes the first at 7:00 PM, it means that both trains covered the same distance by 7:00 PM. The first train left Miami at 3:00PM. Time spent by the first train is 7 - 3 = 4 hours
Distance covered by the first train in 4 hours is 4x
The second train left at 5:00 PM. Time spent by the second train is 7 - 5 = 2 hours
Distance covered by the second train in 2 hours is 2(x + 50)
Therefore,
4x = 2(x + 50)
4x = 2x + 100
4x - 2x = 100
2x = 100
x = 100/2
x = 50 mph
The speed of the second train is
x + 50 = 50 + 50 = 100 mph
Answer:Gabriella worked 4 hours
Step-by-step explanation:
6 minus 2 equals 4 ... its simple subtraction
Answer:
5/9
Step-by-step explanation:
Let's begin by determining the factors of the problem. We know that Robert ran a race that is 2/3 of a mile long. Therefore, we know that 2/3 is a factor in the equation. We also know that, of the 2/3 mile, he ran 5/6 of it. Now the tricky part is deciding how the two fractions are related.
To make this easier, let's substitute a different number for 5/6. We'll say 2.
If he has completed TWICE the length of the race, how would you determine how far he ran?
You would multiply 2/3 by 2! This same principle can be applied to the problem.
To determine the total distance run in miles, we can write it as 2/3 * 5/6
(NOTE that * is known as "times" or "multiplied by")
With this, you multiply the numerators (2 * 5 = 10) and the denominators (3 * 6 = 18) and then make your fraction... 10/18!
But you're not done yet. Always remember to simplify when possible. Both terms are divisible by 2. Therefore, it can be written as 5/9.
Hope this helped!
Answer:
Sarah would peel 3 oranges in 15 minutes
Explanation:
I’m not sure if I did it right but i multiplied 7 by 60 (hours by minutes in an hour) and got 420. Then I divided it by 15 and got 28. Finally, I divided 84 by 28 and I got 3. I don’t if I am late or right for this question though.
Answer:
-2a^4+8a^3-6a^2
Step-by-step explanation:
2a^2(a-1)(3-a)
2a^2(-a^2 +3a-3+a)
2a^2(-a^2+4a-3)
-2a^4+8a^3-6a^2