SOLUTION: If Maura were able to increase her average cycling speed by 3.5 km/n, she would be able to cover in 2 hours a distance at least as great as that which now takes 3 hrs. What is her

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Question 802971: If Maura were able to increase her average cycling speed by 3.5 km/n, she would be able to cover in 2 hours a distance at least as great as that which now takes 3 hrs. What is her best average speed at present?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If Maura were able to increase her average cycling speed by 3.5 km/n,
she would be able to cover in 2 hours a distance at least as great as that which now takes 3 hrs.
What is her best average speed at present?
:
Let s = the present average speed
then
(s+3.5) = the faster speed
:
Write a distance equation; dist = time * speed
3s = 2(s+3.5)
3s = 2s + 7
3s - 2s = 7
s = 7 km/hr is the present cycling speed
:
:
Check this by finding the distance at each speed. should be the same
3(7) = 21 km
2(7+3.5) = 21 km