Question : Two trains start from stations A and B and travel towards each other at speeds of 50 km/h and 60 km/h, respectively. At the time of their meeting, the second train had travelled 120 km more than the first. The distance between A and B is:
Option 1: 1200 km
Option 2: 1440 km
Option 3: 1320 km
Option 4: 990 km
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Correct Answer: 1320 km
Solution : Relative distance = Relative speed × Time According to the question, Time taken by the trains to meet = $\frac{120}{60-50}$ = 12 hr Total distance from A to B = distance covered by slower train + distance covered by faster train = $(12 × 50) + (12 × 60)$ = $600 + 720$ = $1320$ km Hence, the correct answer is 1320 km.
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Question : Two trains start at the same time from A and B and proceed toward each other at speeds of 75 km/hr and 50 km/hr respectively. When both meet at a point in between, one train was found to have travelled 175 km more than the other. Find the distance between A and B.
Option 1: 875 km
Option 2: 785 km
Option 3: 758 km
Option 4: 857 km
Question : Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is:
Option 1: 350 km
Option 2: 210 km
Option 3: 300 km
Option 4: 140 km
Question : A man travelled a certain distance by train at the speed of 50 km/hr and walked back the same distance at the speed of 10 km/hr. If the whole journey took 12 hours, then what was the distance travelled by train?
Option 1: 100 km
Option 2: 180 km
Option 3: 150 km
Option 4: 120 km
Question : A train is moving at a speed of 80 km/h and covers a certain distance in 4.5 hours. The speed of the train to cover the same distance in 4 hours should be:
Option 1: 100 km/h
Option 2: 70 km/h
Option 3: 85 km/h
Option 4: 90 km/h
Question : Two trains of the same length are running on parallel tracks in the same direction at the speeds of 60 km/h and 90 km/h, respectively. The latter completely crosses the former in 30 seconds. The length of each train (in meters) is:
Option 1: 125
Option 2: 150
Option 3: 100
Option 4: 115
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