To find the average speed for the whole trip, we can use the formula for average speed, which is total distance divided by total time.
Let's assume the total distance for one leg of the trip (either westbound or eastbound) is D kilometers. Since the distance traveled is the same for both legs, we can just use D for simplicity.
The time it takes to travel westbound is D/180 hours, and the time it takes to travel eastbound with the jet stream is D/300 hours.
The total time for the whole trip is the sum of the time taken for both legs:
Total time = D/180 + D/300
Now, the total distance for the round trip is 2D kilometers.
The average speed is then:
Average speed = Total distance / Total time
Average speed = 2D / (D/180 + D/300)
Now, let's simplify this expression:
Average speed = 2 / (1/180 + 1/300)
To add the fractions in the denominator, we find a common denominator, which is 900:
Average speed = 2 / ((5/900) + (3/900))
Average speed = 2 / (8/900)
Average speed = 2 * 900 / 8
Average speed = 225 km/h
So, the average speed for the whole trip is 225 km/h, which corresponds to option A).Answer:
Explanation: