SOLUTION: Leah and Rain travel 2km to the aquatic centre. Leah rides her bike while Rain rides an electric scooter. Leah's average speed is 1km/h greater than Rain's. Leah arrives at the cen
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-> SOLUTION: Leah and Rain travel 2km to the aquatic centre. Leah rides her bike while Rain rides an electric scooter. Leah's average speed is 1km/h greater than Rain's. Leah arrives at the cen
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Question 581243: Leah and Rain travel 2km to the aquatic centre. Leah rides her bike while Rain rides an electric scooter. Leah's average speed is 1km/h greater than Rain's. Leah arrives at the centre 10 min before Rain. What is Rain's average speed on her scooter? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Leah and Rain travel 2km to the aquatic center.
Leah rides her bike while Rain rides an electric scooter.
Leah's average speed is 1km/h greater than Rain's.
Leah arrives at the center 10 min before Rain.
What is Rain's average speed on her scooter?
:
Let r = Rain's speed on the scooter
then
(r+1) = Leah's speed on the bike
:
Change 10 min to hrs; 10/60 = hr
:
Write a time equation; time = dist/speed
:
Rain's time - Leah's time = 10 min - =
multiply by 6r(r+1), to clear the denominators, results:
2*6(r+1) - 2(6r) = r(r+1)
:
12r + 12 - 12r = r^2 + r
12 = r^2 + r
0 = r^2 + r - 12
Factors to
(r+4)(r-3) = 0
the positive solution is what we want here
r = 3 km/h is Rain's speed
;
;
:
Check this out - = - = which is of mile
