Question 340942
Jodie bicycles 6 km/h faster than Robert.
 In the same time it takes Robert to bicycle 48 km Jodie can bicycle 66km.
 how fast does each bicyclist travel?
:
Let s = R's speed
then
(s+6) = J's speed
:
Write a time equation; Time = dist/speed
:
J's time = R's time
{{{66/((s+6))}}} = {{{48/s}}}
:
Cross mulltiply
66s = 48(s+6)
66s = 48s + 288
66s - 48s = 288
18s = 288
s = {{{288/18}}}
s = 16 km/ hr is R's speed
then
16 + 2 = 22 km/hr is J's speed
:
:
Check these solutions, find the times of each (they should be equal)
66/22 = 3 hrs
48/16 = 3 hrs
:
That wasn't that hard, now was it.