SOLUTION: Ali and Summer run a race. Ali finishes 10 seconds ahead of Summer. Ali goes 8 ft/sec and Summer goes 7.6 ft/ sec. How many seconds did Ali run? How many seconds did Summer ru

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Ali and Summer run a race. Ali finishes 10 seconds ahead of Summer. Ali goes 8 ft/sec and Summer goes 7.6 ft/ sec. How many seconds did Ali run? How many seconds did Summer ru      Log On

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Question 990667: Ali and Summer run a race. Ali finishes 10 seconds ahead of Summer. Ali goes 8 ft/sec and Summer goes 7.6 ft/ sec.
How many seconds did Ali run?
How many seconds did Summer run?
How long was the race?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Ali finishes 10 seconds ahead of Summer.
Ali goes 8 ft/sec and Summer goes 7.6 ft/ sec.
How many seconds did Ali run?
How many seconds did Summer run?
How long was the race?
:
let t = no. of sec run by A
then
(t+10) = no of sec run by S
:
Write a dist equation, dist = speed * time
They ran the same distance
8t = 7.6(t+10)
8t = 7.6t + 76
8t - 7.6t = 76
.4t = 76
t = 76/.4
t = 190 sec run by A
and 10 sec more
200 sec run by S
:
Find the dist
7.6*200 = 1520 ft is the length of the race