Final answer:
To determine the waiting time, calculate the travel time for both parties and take the difference. At speeds of 90 km/h and 95 km/h over a distance of 50 km, your friend will wait for approximately 1.76 minutes after arriving.
Step-by-step explanation:
To determine how long your friend will be waiting for you at the end of the trip, we need to calculate the travel time for both you and your friend.
You travel 50 km at a speed of 90 km/h. To find the time it takes, we use the formula time = distance / speed. Your travel time is 50 km / 90 km/h = 0.5556 hours (or about 33 minutes).
Your friend travels the same distance at 95 km/h, so the travel time for your friend is 50 km / 95 km/h = 0.5263 hours (or about 32 minutes).
To find out how long your friend waits for you, subtract your friend's travel time from your travel time: 0.5556 hours - 0.5263 hours = 0.0293 hours, which is about 1.76 minutes. Therefore, your friend will be waiting for approximately 1.76 minutes.