Question : A goods train starts running from a place at 1 P.M. at the rate of 18 km/hr. Another goods train starts from the same place at 3 P.M. in the same direction and overtakes the first train at 9 P.M. The speed of the second train in km/hr is:
Option 1: 24
Option 2: 30
Option 3: 15
Option 4: 18
Correct Answer: 24
Solution :
Let the speed of the second train be S
2
(in km/hr).
The first train starts at 1 P.M. and is overtaken by the second train at 9 P.M.
So, the first train runs for 9 – 1 = 8 hours before it is overtaken.
At this time, the distance covered by the first train = 18 km/hr × 8 hours = 144 km
The second train starts at 3 P.M. and overtakes the first train at 9 P.M.
So, the second train runs for 9 – 3 = 6 hours to cover the same distance.
Therefore, we can find S
2
by dividing the total distance by the time taken:
$\therefore$ S
2
$=\frac{\text{Distance}}{\text{Time}} = \frac{144 }{6} = 24$ km/hr
Hence, the correct answer is 24 km/hr.
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