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matton to answer the question. Sabrina lives in Milton and works in Chester.There are 2 routes she can take to get to work. She can travel on the highway or travel on the town roads that connect Milton, Bedford, Warren, and Chester, as shown in the diagram. Sabrina can drive at a constant rate of 65 miles per hour on the highway and 45 miles per hour on the town roads. How much time, in hours, does Sabrina save by driving on the highway instead of driving on the town roads?Round the answer to the nearest tenth. Enter the answer in the box. square square

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matton to answer the question. Sabrina lives in Milton and works in Chester.There are 2 routes she can take to get to work. She can travel on the highway or travel on the town roads that connect Milton, Bedford, Warren, and Chester, as shown in the diagram. Sabrina can drive at a constant rate of 65 miles per hour on the highway and 45 miles per hour on the town roads. How much time, in hours, does Sabrina save by driving on the highway instead of driving on the town roads?Round the answer to the nearest tenth. Enter the answer in the box. square square

matton to answer the question. Sabrina lives in Milton and works in Chester.There are 2 routes she can take to get to work. She can travel on the highway or travel on the town roads that connect Milton, Bedford, Warren, and Chester, as shown in the diagram. Sabrina can drive at a constant rate of 65 miles per hour on the highway and 45 miles per hour on the town roads. How much time, in hours, does Sabrina save by driving on the highway instead of driving on the town roads?Round the answer to the nearest tenth. Enter the answer in the box. square square

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To calculate the time saved by driving on the highway instead of the town roads, we need to find the length of the highway and the combined length of the town roads from Milton to Chester via Bedford and Warren. Then we will calculate the time it takes to travel each route and find the difference.Step 1: Calculate the length of the highway.The length of the highway is the left slant side of the trapezoid, which is not given. However, we can calculate it using the Pythagorean theorem because the trapezoid has a right angle at the upper left vertex.The difference in length between the two bases is 25 miles - 15 miles = 10 miles. This is one leg of the right triangle formed by the height, the difference in base lengths, and the highway.Using the Pythagorean theorem (a^2 + b^2 = c^2), where:a = height = 14 milesb = difference in base lengths = 10 milesc = length of the highwayc^2 = a^2 + b^2c^2 = 14^2 + 10^2c^2 = 196 + 100c^2 = 296c = √296c ≈ 17.2 milesStep 2: Calculate the length of the town roads.The length of the town roads is the sum of the height and the lower base of the trapezoid.Length of town roads = height + lower baseLength of town roads = 14 miles + 25 milesLength of town roads = 39 milesStep 3: Calculate the time taken on the highway.Time = Distance / SpeedTime on highway = Length of highway / Speed on highwayTime on highway = 17.2 miles / 65 mphTime on highway ≈ 0.2646 hoursStep 4: Calculate the time taken on the town roads.Time on town roads = Length of town roads / Speed on town roadsTime on town roads = 39 miles / 45 mphTime on town roads ≈ 0.8667 hoursStep 5: Calculate the time saved.Time saved = Time on town roads - Time on highwayTime saved ≈ 0.8667 hours - 0.2646 hoursTime saved ≈ 0.6021 hoursRounded to the nearest tenth, Sabrina saves approximately 0.6 hours by driving on the highway instead of the town roads.Final Answer:0.6 hours
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