Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
Answer:
48
Step-by-step explanation:
The amount of money, b, is $140.
Answer:
I'm pretty sure it's 1,1.
Step-by-step explanation:
X/2 + x/2 = 2x / 2 or just x. So x = 8/12 which can be simplified by their greatest common factor of 4. Divide both top and bottom by 4. This gives you x = 2/3.
Your answer for that equation is x = 2/3
Not sure what you mean by "decompose" though.