Answer:
Explanation:
To find the time of the commercial plane ride from Vancouver to Regina, we can follow these steps:
Step 1: Determine the speed of the commercial airplane.
Since the jet plane travels two times the speed of the commercial airplane, we can let the speed of the commercial airplane be 'x' km/h. Therefore, the speed of the jet plane would be 2x km/h.
Step 2: Calculate the time taken by the jet plane.
Using the formula Time = Distance / Speed, we can calculate the time taken by the jet plane.
The distance between Vancouver and Regina is 1,730 km, and the speed of the jet plane is 2x km/h. Therefore, the time taken by the jet plane is:
Time _ jet = 1730 km / (2x km/h) = 865 / x hours.
Step 3: Calculate the time taken by the commercial airplane.
According to the problem, the commercial airplane takes 140 minutes longer than the jet plane. We need to convert this additional time to hours.
140 minutes = 140/60 = 2.33 hours.
The time taken by the commercial airplane would be the time taken by the jet plane plus the additional 2.33 hours:
Time _ commercial = Time _ jet + 2.33 hours = (865 / x) hours + 2.33 hours.
Step 4: Solve for the time of the commercial plane ride.
Now, we need to find the value of 'x' that satisfies the given conditions. Since we know that the distance between Vancouver and Regina is 1,730 km, we can set up the following equation:
(865 / x) hours + 2.33 hours = Time _ commercial.
By substituting the known values, we have:
(865 / x) hours + 2.33 hours = Time _ commercial.
Solving this equation will give us the value of 'x' and, subsequently, the time of the commercial plane ride from Vancouver to Regina.