Question

Nakiren travelled 1200 km by air which formed 2/5 of his trip. One third of the whole trip, he travelled by train and the rest of the journey by car. Find the distance travelled by car ?

Answer 1

$total \: distance \: travelled = 1200 \: km \\ distance \: travelled \: by \: air = \frac{2}{5} \: of \: total \: distance \\ = \frac{2}{5} \times 1200 \: km \\ = 480 \: km \\ distance \: travelled \: by \: train \: \\ = \frac{1}{3} \: of \: total \: distance\\ = \frac{1}{3} \times 1200 \: km \\ = 400 \: km \\ now \: distance \: travelled \: by \: air \: and \: by \: train \: = 480 \: km+ 420 \: km \\ = 900 \: km \\ then \: distance \: travelled \: by \: car = remaining \: distance \\ = total \: distance \: travelled - distance \: travelled \: by \: \: air \: and \: by \: train \\ = 1200 \: km - 900 \: km \\ = 300 \: km \\ hence \: the \: car \: travelled \: a \: distance \: of \: 300 \: km \: which \: is \: one \: fourth \\ of \: the \: whole \: trip$