During a triathlon, Sharon swims #1/4#of 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?

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Answer 1 · 2018-06-11T14:29:06

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

#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