Answer:
48 minutes
Step-by-step explanation:
Given: The distance between A and B is 8 miles. Speed of one jogger is 4 miles per hour, and speed of other jogger is 6 miles per hour.
To find: After how many minutes will the joggers meet, if they are running towards each other.
Solution:
Let both the joggers will meet after t hours, at point P between A and B.
We know that [tex]Distance=speed\times time[/tex]
Let the jogger running at a speed of 4 miles per hour starts from point A.
So,
[tex]AP=speed\times time[/tex]
[tex]AP=4\times t[/tex]
[tex]AP=4t[/tex]
Let the jogger running at a speed of 6 miles per hour starts from point B.
So,
[tex]BP=speed\times time[/tex]
[tex]BP=6\times t[/tex]
[tex]BP=6t[/tex]
We have,
[tex]AP+BP=AB[/tex]
[tex]\implies4t+6t=8[/tex]
[tex]\implies10t=8[/tex]
[tex]\implies t=\frac{8}{10}[/tex]
[tex]\implies t=0.8[/tex]
So, both the joggers will meet after 0.8 hours or [tex]0.8\times60=48[/tex] minutes.
Hence, the joggers will meet after 48 minutes.
