A man performs $$\frac{2}{15}$$ of the total journey by rail, $$\frac{9}{20}$$ by bus and the remaining 10 km, on the cycle. His total journey is :
A. 31.2 km
B. 38.4 km
C. 32.8 km
D. 24 km
Answer: Option D
Solution(By Examveda Team)
Let the distance covered by man be x kmJourney covered by rail = $$\frac{2x}{15}$$
Journey covered by bus = $$\frac{9x}{20}$$
Remaining covered by cycle = 10 km
$$\eqalign{ & \therefore x\left( {1 - \frac{2}{{15}} - \frac{9}{{20}}} \right) = 10 \cr & \Rightarrow x\left( {\frac{{60 - 8 - 27}}{{60}}} \right) = 10 \cr & \Rightarrow x\left( {\frac{{25}}{{60}}} \right) = 10 \cr & \Rightarrow x = \frac{{10 \times 60}}{{25}} \cr & \Rightarrow x = 24{\text{ km}} \cr} $$
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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