SOLUTION: Eric cycled from home to school at an average speed of 15 km/h. After school, his uncle drove him home at an average speed of 45 km/h. Given that his trip back home took 1.8 hours

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Question 817627: Eric cycled from home to school at an average speed of 15 km/h. After school, his uncle drove him home at an average speed of 45 km/h. Given that his trip back home took 1.8 hours less than his trip to school, find the distance between Eric's home and his school.
Answer by ankor@dixie-net.com(22740) (Show Source):
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Eric cycled from home to school at an average speed of 15 km/h.
After school, his uncle drove him home at an average speed of 45 km/h.
Given that his trip back home took 1.8 hours less than his trip to school,
find the distance between Eric's home and his school.
:
Find the time cycled then find the distance
Let t = E's time to cycle to school
then
(t-1.8) = return time with his uncle
:
Write a distance equation; dist = speed * time
15t = 45(t-1.8)
15t = 45t - 81
81 - 45t - 15t
81 = 30t
t = 81/30
t = 2.7 hrs cycling time to school
Find the dist:
2.7 * 15 = 40.5 miles
Check the dist
(2.7-1.8)*45 =
.9 * 45 = 40.5 miles