# maths

posted by .

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

## Similar Questions

1. ### math

jen can run at 7.5 m/s and mary at 8.0 m/s. on a race track jen is given a 25 m head start, and the race eds in a tie. how long is the track?

After 1 hour,Jon had finished 5/9 of a long-distance race, and Ling had finished 7/9 of it. At that time, who had finished a greater fraction of the race, and by how munch.
3. ### Physics

In a 100 m race, Maggie and Judy cross the finish line in a dead heat, both taking 10.6 s. Accelerating uniformly, Maggie took 2.20 s and Judy 2.90 s to attain maximum speed, which they maintained for the rest of the race. A) What …
4. ### Math

In Saturday's 8 mile race Sarah's goal was to complete 1/2 of the run in 48 minutes. After that time had elapsed Sarah had run 2/3 of the total race. Which shoes how far ahead of Pace Sarah is?
5. ### math

in a marathon, Hamish had to run a total distance of 11/12 mile. he ran 4/5 of the distance. how many miles did he run?
6. ### ged

Tuan rode in a 40m mile bike race what fraction of the race had tuan ridden when completed 25 miles?

Sir Donald Bradman had scored 6996 runs in 69 completed test innings. he had one more innings to play. How many runs did he need to score in his final innings in order that his test batting average was greater than or equal to 100?
8. ### 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?
9. ### Math

A total of 45 412 runners participated in the Vancouver Sun Run. Of these runners, 0.85% completed the run in under 40 min. How many runners completed in under 40 mins?
10. ### speed

Tom and Jerry took part in a race. Both boys started running at the same time. After 4 hours, Tom had completed the race but Jerry had covered only 4/5 of the route. If Jerry's average speed was 2km/h less than Tom's, find the length …

More Similar Questions