+82 Jamal is sledding down a 24m hill. Compared to when he's racing down the hill, he goes 6 m/s slower when he's pulling back up the hill. Sadly, this means he spends 9 more seconds pulling the sled back up than he does riding it down each time he takes a turn.
What is his speed when he is riding down the hill?
+23252 Using the formula: D = R · T
Downhill: 24 = R · T
Uphill: 24 = (R- 6) · (T + 9)
Downhill: 24 = R · T ---> T = 24 / R
Uphill: 24 = (R- 6) · (T + 9)
= (R- 6) · (24/R + 9)
= 24 + 9R - 144/R - 54
0 = 9R - 144/R - 54
0 = 9R2 - 54R - 144
0 = R2 - 6R - 16
0 = (R - 8)(R + 2)
Rate = 8 m/s
