Answer:
your friend will wait for you for 2.2 minutes.
Explanation:
Given;
Distance of the journey, d = 50 km
your speed, v₁ = 88.5 km/h
your friends speed, v₂ = 94.5 km/h
The time taken before you reached the end of the trip;
[tex]time = \frac{distance }{speed} \\\\t_1 = \frac{d}{v_1} \\\\t_1 = \frac{50}{88.5} \\\\t = 0.565 \ hour[/tex]
The time taken before your friend reached the end of the trip;
[tex]time = \frac{distance }{speed} \\\\t_2 = \frac{d}{v_2} \\\\t_2 = \frac{50}{94.5} \\\\t = 0.529 \ hour \\\\[/tex]
The difference in time = (0.565 - 0.529) hour
= 0.036 hour
= 0.036 x 60 min
= 2.2 mins
Therefore, your friend will wait for you for 2.2 minutes.
