Over the course of 8 races, a runner's finishing time was 5 seconds faster each race than the race prior. if her combined total

Question

yawa3891 [41]

3 years ago

8

Over the course of 8 races, a runner's finishing time was 5 seconds faster each race than the race prior. if her combined total

for all 8 races was 44:20, what was her finishing time for the second race?

Mathematics

1 answer:

ANEK [815] · Answer 1 · 2022-07-28T18:23:03+03:00

X+(x-5) +(x-10) ...
This adds up to 8x -140 seconds where x is the 1st race time.
This adds up to 44:20 minutes
44mins * 60 sec/min = 2640 seconds + 20 = 2660 seconds cummulative
8x - 140 = 2660 8x =2800 sec
8x = 350 seconds or 4.5mins for the 1st race
Race 2: subtract 5 seconds yields 4 mins 25 seconds