Answer :
Answer:
Step-by-step explanation:
Given parameters:
Rate of walking by Lin = 13 miles in 5 hours
Rate of walking by Jada = 25 miles in 10 hours
Distance walked = 3.25 miles
Time of take off = 3:00
Solution:
The rate of their walking amounts to their speed;
Speed = [tex]\frac{distance}{time}[/tex]
Speed of Lin = [tex]\frac{13}{5}[/tex] = 2.6 miles/hr
Speed of Jada = [tex]\frac{25}{10}[/tex] = 2.5 miles/hr
To find the time; make it the subject of formula and solve for each person;
Time = [tex]\frac{distance}{speed}[/tex]
Time of Lin = [tex]\frac{3.25}{2.6}[/tex] = 1.25hr = 48 minutes
Time of Jada = [tex]\frac{3.25}{2.5}[/tex] = 1.3hr = 47 minutes
Time for each to arrive;
Lin = 3.00 + 1.25hr = 4:25
Jada = 3.00 + 1.30hr = 4:30
Final answer:
Lin walks at a speed of 2.6 mph and takes approximately 1.25 hours to reach the library, arriving at 4:15 PM. Jada walks at a speed of 2.5 mph, takes approximately 1.3 hours, and arrives at the library at 4:18 PM.
Explanation:
To determine what time Lin and Jada each arrive at the library, we need to calculate the time it takes for each to walk 3 and 1/4 miles based on their walking rates. Lin walks 13 miles in 5 hours, so to find Lin's speed we divide 13 miles by 5 hours which gives us 2.6 miles per hour. To find out how long it will take Lin to walk 3 and 1/4 miles, we divide 3.25 miles by 2.6 miles per hour, which equals approximately 1.25 hours, or 1 hour and 15 minutes. Since Lin leaves at 3:00, she will arrive at the library at 4:15.
Jada, on the other hand, walks 25 miles in 10 hours, which gives us a speed of 2.5 miles per hour. To determine the time it takes for Jada to walk 3 and 1/4 miles, we divide 3.25 miles by 2.5 miles per hour, which gives us 1.3 hours, or 1 hour and 18 minutes. Therefore, Jada will arrive at the library at around 4:18.