Question

There were 54 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 5/6 of the remaining runners dropped out. How many runners finished the race?

Answer 1

6 runners finished the race

Explanation:

Total number of runners = 54

In the first half of the race, 1/3 of them dropped out

= 1/3 of 54

= 1/3 * 54

= 54/3

= 18 runners

Runners remaining after first half = total runners - dropped out runners at first half

= 54 - 18

= 36 runners

In the second half of the race, 5/6 of the remaining runners dropped out

= 5/6 * 36

= (5*36)/6

= 180/6

= 30 runners

Runners remaining after second half = runners remaining after first half - dropped out runners at second half

=36 - 30

= 6 runners

Therefore, 6 runners finished the race