SOLUTION: A cyclist covers 30km at a uniform speed. If he had ridden 5km/h faster, he would have saved an hour in travelling time. What was his speed?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A cyclist covers 30km at a uniform speed. If he had ridden 5km/h faster, he would have saved an hour in travelling time. What was his speed?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1127324: A cyclist covers 30km at a uniform speed. If he had ridden 5km/h faster, he would have saved an hour in travelling time. What was his speed?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Speed r for 30 km;
speed r+5 for 30 km;
Time difference, 1 hour

30%2Fr-30%2F%28r%2B5%29=1
-
r%5E2%2B5r-150=0

highlight%28r=10%29

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

You need to find two divisors of the number 30  (two velocities), that differ by 5 and produce quotients that differ by 1  

    (the time difference).



The divisors  10 and 15 are good candidates, that produce the velocities 10 and 15 kilometers per hour.     Answer

Mental solution.