SOLUTION: Domic rode his motorbike 20 min to Helen�s home, and then the two drove in a car 30 min to the beach 35 mi from Dominic�s home. If the car speed was 10 mi/h faster than that of the

Question 331739: Domic rode his motorbike 20 min to Helen�s home, and then the two drove in a car 30 min to the beach 35 mi from Dominic�s home. If the car speed was 10 mi/h faster than that of the motorbike, how fast did the car travel?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Domic rode his motorbike 20 min to Helen�s home,
and then the two drove in a car 30 min to the beach 35 mi from Dominic�s home.
If the car speed was 10 mi/h faster than that of the motorbike, how fast did the car travel?
:
A rough diagram will make it look simple
:
D----------20 min-----------H------------30 min-----------Beach
|------------------------------35 mi------------------------|
Let s = motorcycle speed
then
(s+10) = car speed
:
Change 20 min to 1/3 hr
Change 30 min to 1/2 hr
Write a dist equation, Dist = time * speed
:
motorcycle dist + car dist = 35 mi
s + (s+10) = 35
multiply by 6 to get rid of the denominators, results:
2s + 3(s+10) = 6(35)
2s + 3s + 30 = 210
5s = 210 - 30
5s = 180
s =
s = 36 mph is the motorcycle
then
36 + 10 = 46 mph is the car
:
:
Check solutions using the distances
(36) + (46) =
12 + 23 = 35 mi; confirms our solutions

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