A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x, then what is the length of y (in m)?
A. 252
B. 200
C. 168
D. 210
Answer: Option C
Solution(By Examveda Team)
According to question,$$\eqalign{ & \frac{{x + y}}{{\left( {74 + 52} \right)\frac{{{\text{km}}}}{{{\text{hr}}}}}} = 12 \cr & x + y = 12 \times 126 \times \frac{5}{{18}} \cr & x + y = 420{\text{ m }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}\left( {\text{i}} \right) \cr} $$
y = 3a + 2a = 5a
x = 3a
So, from equation (i)
5a = 420
a = 84
Hence length of train y = 2 × 84 = 168
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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