Points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the faster car ?
A. 70 km/hr
B. 60 km/hr
C. 80 km/hr
D. 40 km/hr
Answer: Option B
Solution(By Examveda Team)
According to the question,Let the speed of the faster train = x km/hr
The speed of the slower train = y km/hr
$$\eqalign{ & {\text{Speed = }}\frac{{{\text{Distance}}}}{{{\text{Time}}}} \cr & x + y = \frac{{100}}{1}{\text{ km/hr and }} \cr & x - y = \frac{{100}}{5} = 20{\text{ km/hr}} \cr & x + y = 100.....(i) \cr & x - y = 20.....(ii) \cr} $$
Solve equation (i) and (ii), we get
x = 60 km/hr
y = 40 km/hr
Speed of faster car = 60 km/hr
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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