Aptitude Question ID: 106107
A man covers $latex \frac{2}{15}&s=1$ of the total journey by train, $latex \frac{9}{20}&s=1$ by bus and remaining 10 km by foot. His total journey is :
[A]12.8 km
[B]15.6 km
[C]16.4 km
[D]24 km
24 km
Let the total journey be of x km, then
$latex \frac{2x}{15}+\frac{9x}{20}+10 = x&s=1$
$latex => x – \frac{2x}{15}-\frac{9x}{20} = 10&s=1$
$latex => \frac{60x-8x-27x}{60} = 10&s=1$
$latex => \frac{25x}{60} = 10&s=1$
$latex => x = \frac{60\times 10}{25} = 24\ km&s=1$
Hence option [D] is correct answer.