Question

Matteo's family took a trip to visit some relatives they drove for 2 1/2 hours at 55 miles per hour to get there but the trip home took them 15 minutes longer. At what speed were they traveling on the drive home

Answer 1

20 miles per hour.

Explanation:

We have been given that Matteo's family took a trip to visit some relatives they drove for 2 1/2 hours at 55 miles per hour to get there.

As the trip to home took 15 took minutes longer, so the total time taken to cover the same distance will be:

`\text{Time taken to the home trip}=2(1)/(2)\text{ hours + 15 minutes}`

`\text{Time taken to the home trip}=2.5\text{ hours}+(15)/(60)\text{ hours}`

`\text{Time taken to the home trip}=2.5\text{ hours}+0.25 \text{ hours}`

`\text{Time taken to the home trip}=2.75 \text{ hours}`

`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`

`\text{Speed}=\frac{\text{55 miles}}{\text{2.75 hours}}`

`\text{Speed}=20\frac{\text{miles}}{\text{hours}}`

Therefore, Matteo's family were travelling on the drive home at a speed of 20 miles per hour.