# MATH

In a race, a triathlete runs 1/3 of total distance, cycles 2/5 of the total diatance and swims the ramaining distance. he swim 1.200 meters. What is the
total distance of the race?

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1. x(1 - 1/3 - 2/5) = 6/5
4/15 x = 6/5
x = 9/2

check:
1/3 of 9/2 = 3/2 = 1.5
2/5 of 9/2 = 9/5 = 1.8
1.5 + 1.8 + 1.2 = 4.5 = 9/2

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2. Let x = total distance

x - 1/3x - 2/5x = 1,200m

Solve for x.

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3. Ouch! I got confused on the period/comma usage disparity.

Or, I could just say I was figuring in km instead of meters!

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4. Let's make it all the same denominators.
1/3 = 5/15. 2/5 = 6/15

5/15 + 6 /15 = 11/15

15/15 - 11/15 = 4/15

4/15 is the total fraction he swims.

If 1200 is 4/15 then we divide 1200 by 4 which is 300.

1/15 is 300.

300× 15 = 4500

4500 meters is the total distance if the race.

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