It takes Jenna 60 min to drive to work in the morning. She drives home using the same route, but it takes 25 min longer, and, averages 20m/hr less than in the morning. How far does Jenna drive to work?
d = V1*T1 = V2*T2.
V1 * 1 = V2*(60+25)/60,
V1 = V2*1.4
V1 = V2*1.42,
V1 = (V1-20)*1.42,
V1 = 67.7 Mi/h.
d = V1*T1 = 67.7mi/h * 1h = 67.7 m1.
To find the distance Jenna drives to work, we need to calculate her speed (in miles per hour) and multiply it by the time it takes her to travel.
Let's denote the distance Jenna drives to work as "D" (in miles).
In the morning, Jenna takes 60 minutes to travel to work, which is equivalent to 1 hour. Therefore, her speed in the morning can be calculated as D miles per 1 hour, or simply D miles per hour.
In the evening, Jenna takes 25 minutes longer to return home compared to the morning, which amounts to 60 minutes + 25 minutes = 85 minutes. We need to convert this to hours by dividing it by 60: 85 minutes ÷ 60 = 1.4167 hours.
During the evening commute, Jenna's speed is 20 miles per hour less than in the morning. So, her evening speed can be calculated as (D - 20) miles per hour.
We know that the distance Jenna drives to work is the same in both the morning and evening. Therefore, we can set up the following equation to find the value of D:
D miles per hour × 1 hour = (D - 20) miles per hour × 1.4167 hours
Simplifying the equation:
D = (D - 20) × 1.4167
D = 1.4167D - 28.3334
D - 1.4167D = -28.3334
-0.4167D = -28.3334
D = -28.3334 ÷ -0.4167
D ≈ 68
Therefore, Jenna drives approximately 68 miles to work.