A motor car does a journey in 17.5 hours, covering the first half at 30 km/h and the second half at 40 km/h. Find the distance of the journey?
A. 684 km
B. 600 km
C. 624 km
D. 584 km
Answer: Option B
Solution(By Examveda Team)
Let the total distance be 2X. A_____X km_____M_____X km_____B Total time taken in the journey = 17.5 hours Time taken to cover X km at 30 km/h = $$\frac{{\text{X}}}{{30}}$$ Time taken to cover X km at 40 km/h = $$\frac{{\text{X}}}{{40}}$$ Now,$$\eqalign{ & {\frac{X}{{30}}} + {\frac{X}{{40}}} = 17.5 \cr & {\frac{{ {40X + 30X} }}{{1200}}} = 17.5 \cr & 70X = 17.5 \times 1200 \cr & X = 300\,km \cr & {\text{Total}}\,{\text{distance}},\,2x \cr & = 600\,km \cr} $$
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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