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An aeroplane travels distances 1320 km, 1760 km and 2095 km at the rate of 528 km/h, 352 km/h and 419 km/h, respectively. Find the average speed (in k
Question

An aeroplane travels distances 1320 km, 1760 km and 2095 km at the rate of 528 km/h, 352 km/h and 419 km/h, respectively. Find the average speed (in km/h) of the aeroplane.

A.

398

B.

497

C.

452

D.

414

Correct option is D

Given:
Distances = 1320 km, 1760 km, 2095 km
Speeds = 528 km/h, 352 km/h, 419 km/h
Formula Used:
Average Speed = Total DistanceTotal Time\frac{\text{Total Distance}}{\text{Total Time}}​​
Solution:
Total Distance = 1320 + 1760 + 2095 = 5175 km
Total Time=1320528+1760352+2095419=2.5+5+5=12.5 hours\text{Total Time} = \frac{1320}{528} + \frac{1760}{352} + \frac{2095}{419} = 2.5 + 5 + 5 = 12.5 \text{ hours}

Average Speed =  517512.5=414 km/h \frac{5175}{12.5} = 414 \text{ km/h}​​

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