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.