1. First consider the unknown original price as 'x'.
2. Then consider the rate of discount.
3. To find the actual discount, multiply the discount rate by the original amount 'x'.
4. To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.
Answer: at 50 mph, she drove for 4 hours.
at 45 mph, she drove for 2 hours.
Step-by-step explanation:
Let t represent the time that she spent driving at 50 miles per hour.
Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.
Distance = speed × time
Distance covered while driving 50 miles per hour is
50t
Distance covered while driving 45 miles per hour is
45(6 - t)
Since the total distance that she drove is 290 miles, it means that
50t + 45(6 - t) = 290
50t + 270 - 45t = 290
50t - 45t = 290 - 270
5t = 20
t = 20/5 = 4
At 45 miles per hour, she drove at
6 - 4 = 2 hours
X+y=6
x=10
10+y=6
y=-4
10=-4+z
-4+z=10
z=10+4
z=14
So the correct answer is 14
A, C, and D. Hope this helps!
