9514 1404 393
Answer:
7.24 miles
Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
For distance d in miles, her time in hours walking to school is d/6. Her time traveling home is d/35. The difference of these is 1 hour:
d/6 -d/35 = 1
d(1/6 -1/35) = 1
d(35 -6)/(35·6) = 1
d = 35·6/29 ≈ 7 7/29 ≈ 7.2414 . . . . miles
The school is about 7.24 miles from Diana's home.
_____
Additional comment
Diana is quite the athlete. World-class race-walking speeds are on the order of 8 miles per hour. Casual walking speeds are on the order of 3 miles per hour.
