Molly walks to Raven's house, which is 3 miles due east of her house. Then she and Raven walk to the library, which is 4 miles due north of Raven's house. Molly then walks home. If she averages walking 3 miles per hour, how long does Molly spend walking during her whole trip?
Responses
A 1 hour and 40 minutes1 hour and 40 minutes
B 2 hours and 20 minutes2 hours and 20 minutes
C 3 hours3 hours
D 4 hours4 hours
E 5 hours
You have answered the question incorrectly. Please view the following explanation below.
Molly walks to Raven's house, which is 3 miles due east of her house. Then she and Raven walk to the library, which is 4 miles due north of Raven's house. Molly then walks home. If she averages walking 3 miles per hour, how long does Molly spend walking during her whole trip?
Responses
A 1 hour and 40 minutes1 hour and 40 minutes
B 2 hours and 20 minutes2 hours and 20 minutes
C 3 hours3 hours
D 4 hours4 hours
E 5 hours5 hours
Before you can find the total distance she walked, you must first find the distance from the library to Molly's house. Using the Pythagorean Theorem,
+
=
, we find the distance to be 5 miles. We add 3 + 4 + 5 to get 12 miles. We then use the formula: distance = rate x time, to find that the time is 4 hours.
Thank you for the correction. The answer is indeed:
D 4 hours
Explanation:
Molly walks 3 miles east to Raven's house, then 4 miles north to the library, forming a right triangle with legs of length 3 and 4 miles. Using the Pythagorean theorem, we find that the direct distance from the library to Molly's house is 5 miles. So, Molly walks a total of 3 + 4 + 5 = 12 miles.
Given that she averages 3 miles per hour, the time taken to walk 12 miles would be:
Time = Distance / Speed
Time = 12 miles / 3 mph
Time = 4 hours
Therefore, Molly spends a total of 4 hours walking during her whole trip.
B 2 hours and 20 minutes
Explanation:
First, Molly walks 3 miles east to Raven's house, which would take her 1 hour at an average speed of 3 miles per hour.
Next, she and Raven walk 4 miles north to the library, which would take her 4/3 = 1.33 hours (approx. 1 hour and 20 minutes) at the same speed.
Lastly, Molly walks back home, which would take her another 1 hour.
Adding up the time spent walking: 1 hour + 1.33 hours + 1 hour = 3.33 hours = 3 hours and 20 minutes
Therefore, Molly spends a total of 2 hours and 20 minutes walking during her whole trip.