SOLUTION: Alan cycles everyday from home to school and back. The school is 6km from his home. He cycles at an average speed of x km/h in his outward journey from home to school. On his retur
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Question 957405: Alan cycles everyday from home to school and back. The school is 6km from his home. He cycles at an average speed of x km/h in his outward journey from home to school. On his return journey from school to home he cycles 3 km/h faster.
1.Find in terms of x the time in hours taken for the outward journey.
2.Find in terms of x the time in hours taken for the return journey.
3.If the return journey takes 20 minutes less than then outward journey,use the result an obtained in part i and ii to show that x^2+3x-54=0.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
km
= rate in km/hr
--------------
(2)
Return journey:
km
= rate in km/hr
-------------------
You are given:
( note that I converted min to hours )
Multiply both sides by
Subtract from both sides
Multiply both sides by
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