Answer:
Katherine and Beatrice will meet after 2.5hrs.
Step-by-step explanation:
Given:
Distance between Katherine and Beatrice when they start moving towards each other= 20 miles
Speed at which Katherine runs =5 mph
Speed at which Beatrice walks =3 mph
To Find:
Time taken for Katherine and Beatrice to meet each other
Solution:
Let assume number of hours after which Katherine and Beatrice = x hrs
Distance = speed x time
Distance travelled by Katherine in x hours =[tex]5\times x[/tex] = 5x
Distance travelled by Beatrice in x hours = [tex]3\times x[/tex]= 3x
Total distance covered together by Katherine in x hours and Beatrice in x hours is 20 miles .
=> 5x + 3x = 20
=>8x = 20
=> [tex]x = \frac{20}{8}[/tex]
=> [tex]x = \frac{5}{2}[/tex]
=> x=2.5
Number of hours after which Katherine and Beatrice meets = x hrs = 2.5hrs
