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

Anurag Mishra Professor Asked on 30th June 2016 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 2nd July 2016.
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