Question

The airliner concorde flies 2000km at a speed of 1600km/hr and then returns due to bad weather at a speed of 1000km/h find the average speed for the whole trip ,

Answer 1

1230.77 km/h

Explanation:

To find the average speed for the whole trip, we need to calculate the total distance traveled and total time taken for the whole trip.

The distance traveled in one direction is 2000 km. The speed of the plane while traveling in one direction is 1600 km/h and while returning due to bad weather it is 1000 km/h.

Let’s calculate the time taken for each leg of the journey:

Time taken for first leg of journey = Distance / Speed = 2000 / 1600 = 1.25 hours

Time taken for second leg of journey = Distance / Speed = 2000 / 1000 = 2 hours

Total time taken for the whole trip = Time taken for first leg + Time taken for second leg = 1.25 + 2 = 3.25 hours

Total distance traveled = Distance in one direction + Distance in return direction = 2000 + 2000 = 4000 km

Average speed for the whole trip = Total distance traveled / Total time taken = 4000 / 3.25 ≈ 1230.77 km/h.

Therefore, the average speed of the airliner for the whole trip is approximately 1230.77 km/h.

Answer 2

Step 1:
Compute for the time in speed 1 & 2.
t1=d/s
=2000km/(1600km/hr)
=1.25hrs
Since, the airline just returned: therefore, the distance is the same.
t2=d/t
=2000km/(1000km/hr)
=2hrs

Step 2:
Solve for the total time and distance.
Ttotal=t1+t2
=(1.25+2)hrs
=3.25hrs
Since, it's a round trip, just add the distances:
Dtotal=2(2000km)
=4000km

Step 3:
Solve for the Average Speed.
Average Speed=DTotal/Ttotal
=4000km/3.25hr
=1230.77 km/hr

Hope it helped. :)