Question

a group of students traveled by bus to an away football game. the bus traveled at a rate of 65 mph going to the game and returned at a rare of 60 mph. if the total driving time was 25 hours, how far away was the game?​

Answer 1

The distance to the game that the student travelled was 780 miles.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let d represent the distance to the game.

Hence:

65 = d/t₁

d = 65t₁

60 = d/t₂

d = 60t₂

65t₁ = 60t₂

65t₁ - 60t₂ = 0  (1)

t₁ + t₂ = 25    (2)

t₁ = 12 hours, t₂ = 13 hours

d = 60*13 = 780 miles

The distance to the game that the student travelled was 780 miles.

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