Solveeit Logo

Question

Mathematics Question on Problem on Trains

Raghu travelled 1200 km by air which formed 23th\frac{2}{3}{th} of his trip. One - third of the whole trip he travelled by car and the rest of the journey he did by train. The distance travelled by train is

A

1600 km

B

800 km

C

1800 km

D

480 km

Answer

800 km

Explanation

Solution

Let, the whole distance travelled be 'x',

Raghu travelled 1200 km by air which formed 25th\frac{2}{5}^{th} of this trip,

25th\frac{2}{5}^{th} of x =1200

x = 3000 km

One - third of the whole trip he travelled by car,

13×3000=1000\frac{1}{3}\times3000=1000 km

The rest of the journey he did by train,

The distance travelled by train = 3000 - (1200 + 1000)

⇒ 800 km

Hence, option B is the correct answer.The correct option is (B): 800 km