Question 607364
Jodie bicycles 7km/h faster than Carlos.
 In the same time if takes Carlos to bicycle 51 km and Jodie can bicycle 72km. How fast does each bicycle travel?
:
Let c = C's riding speed
then
(c+7) = J's riding speed
:
Distance varies directly with speed, so we can write it
{{{c/((c+7))}}} = {{{51/72}}}
cross multiply
72c = 51(c+7)
72c = 51c + 357
72c - 51c = 357
21c = 357
c = {{{357/21}}}
c = 17 km/hr is C's speed
:
You can find J's speed
:
Check your solutions by finding the time for each, they should be equal