Question

South Central High Students' Council is traveling to Kelowna for the Students' Council National Conference. They decide to save money going to Kelowna and can leave tonight by bus. They need to get back to the high school for a sporting event so will take the express train where they can save three hours of travel time because the express train travels 25 km/h faster than the bus. If the distance between South Central High and Kelowna is 1500 km, determine how long it will take to travel in total if they travel by bus going to the conference and then by express train coming back from the conference, rounded to the nearest hour.

Answer 1

The total travel time for the South Central High Students' Council trip to Kelowna is approximately 77 hours.

Step-by-step explanation:

To determine the total travel time, we need to calculate the time taken to travel to Kelowna by bus and the time saved on the return trip by express train.

Let's first calculate the time taken to travel to Kelowna by bus.

Speed of the bus = 30 km/hr

Distance to Kelowna = 1500 km

Time taken to travel by bus = Distance / Speed

= 1500 km / 30 km/hr

= 50 hours

Now, let's calculate the time saved on the return trip by the express train.

Speed of the express train = 30 km/hr + 25 km/hr

= 55 km/hr

Time taken to travel by express train = Distance / Speed

= 1500 km / 55 km/hr

= 27.3 hours

The total travel time will be the sum of the time taken to travel by bus and the time saved on the return trip by the express train.

Total travel time = Time taken to travel by bus + Time saved on the return trip

= 50 hours + 27.3 hours

= 77.3 hours

Rounded to the nearest hour, the total travel time will be approximately 77 hours.