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
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Correct Answer: 24
Solution : Let the speed of the second train be S2 (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 S2 by dividing the total distance by the time taken: $\therefore$ S2 $=\frac{\text{Distance}}{\text{Time}} = \frac{144 }{6} = 24$ km/hr Hence, the correct answer is 24 km/hr.
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Question : A train starts moving from place A at 10: 00 am. and arrives at place B at 5: 30 pm on the same day. If the speed of the train is 80 km/hr, then what will be the distance covered by the train?
Option 1: 600 km
Option 2: 550 km
Option 3: 650 km
Option 4: 450 km
Question : A train covers a certain distance at a speed of 80 km/hr in 6 hours. Find the speed of the train for covering the same distance in 5 hours.
Option 1: 96 km/hr
Option 2: 86 km/hr
Option 3: 90 km/hr
Option 4: 88 km/hr
Question : Two stations L and M are 720 km apart from each other. A train leaves from L to M, and another trains leave from M to L simultaneously. Both trains meet after 24 hours. If the speed of the first train is 10 km/hr more than the second train, then what is the speed of the slower train?
Option 1: 20 km/hr
Option 2: 16 km/hr
Option 3: 14 km/hr
Option 4: 10 km/hr
Question : A train moves at a speed of 35 km/hr for the first 2 hours and at a speed of 50 km/hr for the next 4 hours. Find the average speed of the train during the entire journey.
Option 1: 47 km/hr
Option 2: 50 km/hr
Option 3: 45 km/hr
Option 4: 35 km/hr
Question : A man covers half part of a certain distance at 60 km/hr. He covers 40% of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: 24 km/hr
Option 2: $\frac{58}{3}$ km/hr
Option 3: 36 km/hr
Option 4: 40 km/hr
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