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Alicia drives 10 minutes on the motorway at a speed of 90 miles per hour. She then drives 10 more minutes on side roads at a speed of 30 miles per hour. How many miles has Alicia travelled in the 20 minutes she’s been driving?

Respuesta :

mhanifa

20 miles

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Convert 10 minutes to hours:

  • 10 minutes / 60 = 1/6 hours

Calculate the distance on the motorway:

  • 90 mph * (1/6) hr = 15 miles

Calculate the distance on side roads:

  • 30 mph * (1/6) hr = 5 miles

Total distance traveled:

  • 15 miles + 5 miles = 20 miles

Final answer:

Alicia has traveled a total of 20 miles in the 20 minutes she has been driving, covering 15 miles on the motorway and 5 miles on the side roads.

Explanation:

To calculate the total distance Alicia has traveled in 20 minutes, we need to find the distance for each segment of the trip and then add them together.

Motorway Distance

Alicia drove for 10 minutes at a speed of 90 miles per hour on the motorway. Since 10 minutes is 1/6 of an hour, we calculate the distance as follows:

Distance = Speed × Time = 90 mph × (10/60) hours = 90 mph × (1/6) hours = 15 miles.

Side Road Distance

For the side roads, Alicia drove for another 10 minutes at 30 miles per hour. Using the same method, we calculate the second part of the trip:

Distance = Speed × Time = 30 mph × (10/60) hours = 30 mph × (1/6) hours = 5 miles.

Total Distance

To get the total distance traveled, we add the distance on the motorway and side roads together:

Total Distance = 15 miles + 5 miles = 20 miles.

Therefore, Alicia has traveled a total of 20 miles in the 20 minutes she’s been driving.

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