Question

Huong left the hospital and drove toward the town hall. Two hours later Imani left driving at 50 km/h in an effort to catch up to Huong. After driving for three hours, Imani finally caught up. Find Huong's average speed.

Answer 1

Huong's average speed was 30 km/h, calculated by using the fact that both Imani and Huong traveled the same distance, Imani at 50 km/h for 3 hours and Huong for a total of 5 hours before being caught.

Step-by-step explanation:

To find Huong's average speed, we can use the information given and apply uniform motion equations. We know that Imani drove at 50 km/h for three hours, covering a total distance of 150 km (since Distance = Speed × Time).

Huong had a two-hour head start and was caught by Imani three hours after Imani started driving. Therefore, Huong drove for a total of five hours when Imani caught up. If we let v represent Huong's average speed, we can say that Huong's distance is v × 5 hours.

Since they covered the same distance at the point where Imani caught up, we can set their distances equal to each other to solve for Huong's speed: v × 5 hours = 150 km. Dividing both sides by 5 gives us Huong's average speed, v: v = 150 km / 5 hours = 30 km/h.