Question : Two trains start from a certain place on two parallel tracks and in the same direction. The speeds of the trains are 45 km/hr and 40 km/hr respectively. The distance between the two trains after 45 minutes will be:
Option 1: 2 km 500 m
Option 2: 2 km 750 m
Option 3: 3 km 750 m
Option 4: 3 km 250 m
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Correct Answer: 3 km 750 m
Solution : Given: The speeds of the trains are 45 km/hr and 40 km/hr. The relative speed = (45 – 40) = 5 km/hr = 5 × $\frac{5}{18}$ m/s = $\frac{25}{18}$ m/s Distance travelled after 45 minutes = $\frac{25}{18}$ × 45 × 60 = 3750 m = 3 km 750 m Hence, the correct answer is 3 km 750 m.
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Question : Two trains P and Q of lengths 320 m and 540 m, respectively, are running in the same direction on parallel tracks at 108 km/hr and 144 km/hr, respectively. How much time will the trains take to cross each other completely?
Option 1: 86 sec
Option 2: 54 sec
Option 3: 32 sec
Option 4: 68 sec
Question : Two men walk from a place at speeds of 9 km/hr and 12 km/hr, respectively. The first man takes 20 minutes more than the second one to cover the journey. Find the distance of the journey.
Option 1: 10 km
Option 2: 13 km
Option 3: 15 km
Option 4: 12 km
Question : Two tourist buses start from the same point and move along two roads at right angles at speeds of 48 km/hr and 36 km/hr, respectively. The distance between the buses after 15 seconds is ________.
Option 1: 175 m
Option 2: 350 m
Option 3: 250 m
Option 4: 150 m
Question : A boat goes a certain distance at 30 km/hr and comes back the same distance at 60 km/hr. What is the average speed (in km/hr) for the total journey?
Option 1: 45 km/hr
Option 2: 50 km/hr
Option 3: 40 km/hr
Option 4: 35 km/hr
Question : Vikas covered a certain distance by bike. If he covers 40% of the distance at 40 km/hr, 50% of the distance at 25 km/hr and the remaining 10% distance at 10 km/hr. Find his average speed over the whole distance.
Option 1: 25 km/hr
Option 2: 28 km/hr
Option 3: 26 km/hr
Option 4: 30 km/hr
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