A man travels 50% of the distance by air 35% by train and 10% by bus and the remaining by taxi If he travels a distance of 144 km by taxi, find the total distance and the distance travelled by air train and bus

According to the Question, 
A man travels the distance by air = 50%
Travels the distance train = 35%
Travels the distance by bus = 10%
Travels the distance by taxi = 144 km

Step by Step Solution : 

Let, total distance travelled by man is x
Therefore,
By Air ,
= x × 30/100
= x/2
By Train,
= x × 35/100
= 7x/20
By Bus,
= x × 10/100
= x/10
Now remaining distance,
= x – x/2 – 7x/20 – x/10
= 20x – 10x – 7x – 2x/20
= x/20
Therefore,
x/20 = 144
= x = 2880
∴ Air = 2880/2
= 1440 KM
∴ Train = 7 × 2880/20
= 1008 km
∴ Bus = 2880/10
= 288 Km

Video Explanation :
https://youtu.be/gGedccDztwM