A person covers some part of 270 km journey by plane and rest by train in 5 hours. If he covers total distance by plane in 3 hrs then he saves \(\frac{2}{3}\) rd of the time spend in train. Find the distance (in km) covered by plane.
Answer & explanation
Correct answer: option 3
Total distance to be traveled = 270 km
As, By travelling whole distance through plane saves \(\frac{2}{3}\)rd of time taken by train.
So, \(\frac{1}{3}\)rd of time taken by train = 3 hours
Total time taken by train = 9 hours
By using allegation method,
As,
3R = 270 km
1R = 90 km
2R = 2 x 90 = 180 km
So, Distance traveled by 180 km