Hannah took a trip yo visit her cousin. She drove 120 miles to reach her cousin's house and the same distance back home.
a) It took her 1.2 hours to get halfway to her cousin's house. What was her average speed, in miles per hour, for the first 1.2 hours of the trip?
b) Hannah's average speed for the remainder of the trip to her cousin's house was 40 miles per hour. How long, in hours, did it take her to drive the remaining distance?
c) Traveling hme along the same route. Hannah drove at an average rate of 55 miles per hour. After 2 hours her car broke down/ How many miles was she from home?
Just plod along step by step.
a) halfway is 60 miles in 1.2 hr = 60/1.2 = 50 m/hr
b) 60 miles at 40 miles per hr = 1.5 hr
1.5
c) 55*2 = 110
120 - 110 = 10
a) To find the average speed, we need to divide the total distance traveled by the time taken. Since Hannah traveled halfway to her cousin's house, the total distance traveled was 120 miles / 2 = 60 miles. The time taken was given as 1.2 hours. So, her average speed for the first 1.2 hours of the trip was 60 miles / 1.2 hours = 50 miles per hour.
b) The remaining distance to her cousin's house is also 60 miles (as she traveled halfway to her cousin's house). Hannah's average speed for the remainder of the trip was given as 40 miles per hour. To find the time taken to drive the remaining distance, we divide the distance by the speed: 60 miles / 40 miles per hour = 1.5 hours.
c) On the way back, Hannah drove at an average rate of 55 miles per hour. She drove for 2 hours before her car broke down. To find the distance she was from home, we multiply the speed by the time: 55 miles per hour * 2 hours = 110 miles. Hence, Hannah was 110 miles from home when her car broke down.
a) To find her average speed for the first 1.2 hours of the trip, we need to calculate the distance she traveled in that time period. Since she took 1.2 hours to get halfway, we know that she traveled half the distance to her cousin's house in that time period. Therefore, the distance she traveled is 120 miles divided by 2, which is 60 miles.
To calculate her average speed, we divide the distance traveled by the time taken. In this case, the average speed is 60 miles divided by 1.2 hours, which is 50 miles per hour.
b) Since Hannah's average speed for the remainder of the trip to her cousin's house was 40 miles per hour, we can find the time it took her to drive the remaining distance by dividing that distance by her average speed. The remaining distance is also 120 miles, since she traveled 120 miles to reach her cousin's house. So, the time taken is 120 miles divided by 40 miles per hour, which is 3 hours.
c) If Hannah's average speed on her way back home was 55 miles per hour and her car broke down after 2 hours, we can calculate the distance she traveled in that time. The distance traveled is equal to Hannah's average speed multiplied by the time taken. Therefore, the distance she traveled is 55 miles per hour multiplied by 2 hours, which is 110 miles.