Fred and Sam are a team in the local 138.2 miles bike run aton . Fred will compete in the bike race and Sam will compete in the run. Fred bikes at an average of 8 miles per hour .The buke race begins at 6:00 am following by the run. Sam predicts he will finish the run at 2:33 am the next morning. a. If t is how long it takes Fred to compete the bike race in hours write an expression to find Fred total distance.
b. Write an expression in terms of t. to express Sam time.
c. How many hours will take them to complete the entire bike run thon.
d. Write an expression in terms of t that represent Sam total distance

The time Sam spends running is the difference between the total time

and the time Fred spends biking.

Response:

a. Fred's total distance is 8·t miles

b. Sam's time running is 20.55 - t

c. 20.55 hours

d. Sam's total distance is 138.2 - 8·t

Given:

The length of the run aton = 138.2 miles

Fred's average bike speed = 8 miles per hour

Time at which the bike race begins = 6:00 a.m.

Time Sam will finish the run = 2:33 a.m. the next morning

a. The time Fred takes to complete the bike race = t

b. 2:33 = 2.55 hours after midnight

The total time = 24 - 6 + 2.55 = 20.55

The total time of the race = 20.55 hours

c.  Time to complete the run = 24 - 6 + 2.55 = 20.55

d. The total distance Sam runs, d = 138.2 miles - 8·t miles

Which gives;

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