During a triathlon, Sharon swims 1/4of the total route and cycles 3/5 of the remaining route. She runs the rest of the route. It she runs 3,600 meters, what is the total distance of the triathlon route?

1 Answer
Jun 11, 2018

The triathlon is 24km long.
(6km swimming, 14.4km cycling and 3.6km running)

Explanation:

x is the total route in kilometers
(3600m = 3.6km)

we know that
x= 3.6 + (1/4)x + (3/5)x

multiplying both sides with 20, gives

20x = 72 + 5x+12 x

or (moving all terms with x to the same side)

3x = 72

meaning #x=(72000/3) = 24

The triathlon route is 24km long