Answer: Train A = 50 mph; Train B = 30 mph
Step-by-step explanation:
In this case, let's call the speed of both trains as:
Va: speed of train A
Vb: speed of train B
As train A is faster than train B, let's call speed of train B as X; So if Vb is X, then Va would be:
Vb = X
Va = X + 20
If we combine both Speed, we have:
V = Va + Vb = X + X + 20 = 2X + 20
Now that we have an expression for the combined speed, let's recall the formula for speed in general:
V = d/t
Where:
d: distance = 240 miles
t: time = 3 hours
Combining all the data we have:
V = 240/3
but V is 2X + 20 so:
2X + 20 = 240/3
Solving for X:
2X + 20 = 80
2X = 80 - 20
2X = 60
X = 60/2
X = Vb = 30 mph
Now that we know speed of one train, we can know the speed of the other train:
Va = 30 + 20 = 50 mph
There are the solutions for x+y=3 and they are
(0,3) (2,1) and (1,2)
and for -x+2y=6 is
(0,3) (2,4) and (1 7/4)
hope this helps
This is a right triangle. We know that
Therefore,
Now we have:
Answer:
$ 2600 on Friday's game and $ 1456 on saturday's game.
Step-by-step explanation:
Let x be the money ( in dollars) earned on friday and y be the money ( in dollars ) earned on Saturday,
Since, total earning on friday and saturday is $ 4056.00,
⇒ x + y = 4056 -----(1),
Also, Friday's game generates $1144.00 less than Saturday's game.
⇒ y - x = 1144 -------(2),
Equation (1) + equation (2),
2y = 5200,
y = 2600
From equation (1),
x + 2600 = 4056
x = 1456
Hence, $ 2600 was taken on Friday's game and $ 1456 was taken on saturday's game.
