lan completed part of a race and had 2000m
left to run.if he had completed 3/5 of the race,what is the total distance he had to run?
Let the total distance be x m
since he completed 3/5 of the race, he still has 2/5 of the race to run, but this is supposed to be 2000 m
then (2/5)x = 2000
multiply both sides by 5/2,
(5/2)*(3/5)x= 5/2*2000
x=5000 m
typo in second-last line
should be: (5/2)*(2/5)x = 5/2*2000
To find the total distance that Lan had to run, we need to set up an equation using the information given. Let's call the total distance he had to run "x" meters.
Since Lan completed 3/5 of the race, he still had 2/5 of the race left to run. We know that this remaining distance is equal to 2000 meters. So, we can write:
(2/5)x = 2000
To solve for x, we need to isolate it on one side of the equation. Multiplying both sides of the equation by the reciprocal of 2/5, which is 5/2, we get:
(5/2)(2/5)x = (5/2)(2000)
Simplifying this equation, we have:
x = 5000
Therefore, the total distance Lan had to run is 5000 meters.