# A man performs 2.15 of the total journey by rail, 9/20 by bus

A man performs 2.15 of the total journey by rail, 9/20 by bus and the remaining 10 km, on the cycle. His total journey is:

(a) 312 km

(b) 38.4 km

(c) 32.8 km

(d) 24 km

**Answer: (d) 24 km **

**Solution:-**

Let the total journey be X km.

According to the question,

X – (2 X/15 + 9 X/20 ) = 10

X – {(4 x 2 X + 3 x 9 X)/60} = 10

X – (35 X/60) = 10

(60 X – 35 X)/60 = 10

25 X = 600

X = 600/25

X = 24

So, the total distance of the journey is 24 km.

Hence, the correct answer is option (d) 24 km.