Question

Eduardo’s average speed on his commute to work was 55 miles per hour. On the way home, he hit traffic and only averaged 40 miles per hour. If the round trip took him 1.25 hours, which expression represents the distance, in miles, for his trip home that is missing from the table?

t – 1.25
1.25 – t
40(1.25 – t)
40(t – 1.25)

Answer 1

Option C. 40(1.25 - t)

Explanation:

Eduardo's average speed on his commute to work = 55 miles per hour

On the way home his average speed was = 40 miles per hour

Round trip took him 1.25 hours.

Let t be the total time taken by Eduardo for the trip to work.

Then time taken on the way home = Total time for round trip - Time taken from work to home

= (1.25 - t) hours

Average speed =
`\frac{\text{Distance}}{\text{Time}}`

40 =
`\frac{\text{Distance}}{(1.25-t)}`

Now the distance for his trip home can be represented by

Distance = 40(1.25 - t)

Option C. 40(1.25 - t) will be he answer.

Answer 2

40(1.25-t)

Explanation:

There are 3 components to consider; time, speed and distance

Time and Speed are given.

The distance has to be calculated.

• Speed to work = 55 miles per hour
• Time to work = 1.25-T
• Speed to home = 40 miles per hour
• Time to home = 1.25-t
• Total Time = T + t = 1.25

Distance for trip to home

Speed = Distance/Time

40 = Total Distance/1.25-t

Total Distance = 40(1.25-t)

Therefore, 40(1.25-t) is the correct answer.

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