Question : A passenger train running at the speed of 80 km/h leaves the railway station six hours after a goods train leaves and overtakes it in four hours. What is the speed of the goods train?
Option 1: 32 km/h
Option 2: 50 km/h
Option 3: 45 km/h
Option 4: 64 km/h
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Correct Answer: 32 km/h
Solution : The passenger train covers the distance in 4 hours = 80 × 4 = 320 km The goods train travels this distance in = (6 + 4) = 10 hours We know that, $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ So, the speed of the goods train = $\frac{320}{10}=32$ km/h Hence, the correct answer is 32 km/h.
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Question : Two places, P and Q, are 162 km apart. A train leaves P for Q and simultaneously, another train leaves Q for P. They meet at the end of six hours. If the former train travels 8 km/h faster than the other, the speed of the train from Q is:
Option 1: $12\frac{5}{6}$ km/h
Option 2: $10\frac{5}{6}$ km/h
Option 3: $9\frac{1}{2}$ km/h
Option 4: $8\frac{1}{2}$ km/h
Question : A train covers the distance between station A and station B in 45 minutes. If the speed of the train is reduced by 5 km/hr, then the same distance is covered in 48 minutes. The distance between stations A and B is:
Option 1: 60 km
Option 2: 64 km
Option 3: 80 km
Option 4: 55 km
Question : Direction: A train runs for 2 hrs at the speed of 40 km/h and then runs for 4½ hrs at the speed of 6 km/h and then runs for 3½ hrs, at the speed of 70 km/h. Find the average speed of the train.
Option 1: 59.5 km/h
Option 2: 80 km/h
Option 3: 56.87 km/h
Option 4: 57.1 km/h
Question : A goods train 350 m long passes through a tunnel of length 1250 m in 80 seconds. What is the speed of the train?
Option 1: 64 km/hr
Option 2: 56 km/hr
Option 3: 78 km/hr
Option 4: 72 km/hr
Question : Two stations R and S are 400 km apart from each other. A train leaves from R to S and simultaneously another train leaves from S to R. Both trains meet after 10 hours. If the speed of the first train is 4 km/hr more than the second train, then what is the speed of the slower train?
Option 1: 18 km/hr
Option 2: 26 km/hr
Option 3: 16 km/hr
Option 4: 22 km/hr
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