Given :
Distance between them, D = 14 miles .
Mr. Howard can run 3 miles in 30 minutes.
Ms. Egan can run 4 miles in 30 minutes.
To Find :
Time taken by them to meet.
Solution :
Mr Howard speed, [tex]v_H=\dfrac{3}{0.5}=6\ mph[/tex] .
Mr Egan speed, [tex]v_e=\dfrac{4}{0.5}=- 8\ mph[/tex] . [ Since they run in opposite direction ]
Their relative speed :
[tex]v=v_E-v_H\\\\v = 8-(-6) \ mph \\\\v = 14 \ mph[/tex]
Time taken by them to meet :
[tex]T = \dfrac{14}{14}\ hours\\\\T = 1 \ hours[/tex]
Hence, this is the required solution.
