Amanda leaves Boston at 10:00 AM and drives to Buffalo, NY, which is 400 miles away. After 4 hours, the traffic causes Amanda to reduce her speed by 20 mph. She stops to rest for two hours, and then arrives in Buffalo at 8:00 PM. What was Amanda's initial speed?

60 mph

Step-by-step explanation:

Using the information in the problem, you can create this equation:

Total distance - (distance that Amanda covered before she slowed down) - (distance that Amanda covered when she slowed down) = 0

And using the formula distance = rate * time, you can substitute the values in:

400 - 4x - 4(x + 20) = 0

When you solve for x, you get x = 60.

And since x is the speed that Amanda was going before she slowed down, 60 mph will be your answer.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

add an image, and i will answer

step-by-step explanation: