Question

A bicyclist traveled 280 km at a certain speed. If the speed had been increased 5 km/h, the trip could have been made in 1 hour less time. Find the actual speed.

Answer 1

in first case v=280/x
where v is velocity,t is time taken
in the second case v+5=280/(x-1)
use these equations to get the value of x in terms of v..then use the value of x in any one of above equations,you will get the required speed

Answer 2

is there some way I can solve this by using quadratic formulas or squaring something so I can factor it?

Answer 3

you can use the quadratic formula

Answer 4

okay and how would I set that up..? Like the one up above..?

Answer 5

from first case vx=280
from 2nd case (v+5)(x-1)=280
so vx=(v+5)(x-1)
solve this to get x in terms of v and do as i said above

Answer 6

Thanks :)

Answer 7

you're welcome