SOLUTION: if A walked 1km/hr faster then A would have taken 10 min less to walk 2km/hr. find the speed of A

Question 672211: if A walked 1km/hr faster then A would have taken 10 min less to walk 2km/hr. find the speed of A
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
if A walked 1km/hr faster then A would have taken 10 min less to walk 2km/hr. find the speed of A
:
let s = the speed of A
:
Change 10 min to 10/60 = 1/6 hr
:
slow time - fast time = 10 min
- =
:
mult by 6s(s+1), cancel the denominators and you have:
6(s+1)*2 - 6s(2) = s(s+1)
12(s+1) - 12s = s^2 + s
12s + 12 - 12s = s^2 + s
:
A quadratic equation
s^2 + s - 12 = 0
:
Factors to
(s+4)(s-3) = 0
:
the positive solution is what we want here
s = 3 km/h is his speed
:
:
Check this
2/3 - 2/4 =
8/12 - 6/12 = 2/12 = 1/6
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