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
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Correct Answer: 10 km/hr
Solution : Distance between L and M = 720 km Time taken in meeting = 24 hours Difference of speed of 1st train and 2nd train = 10 km/hr Let the speed of the faster train be $x$ and the slower train be $x-10$. Here the speed is the relative speed in the opposite direction We know that, Relative speed = $\frac{\text{Distance}}{\text{Time}}$ ⇒ $x + x - 1 0 = \frac{720}{24}$ ⇒ $2x =30 + 10$ ⇒ $x=20$ The speed of the slower train is = 20 – 10 = 10 km/hr Hence, the correct answer is 10 km/hr.
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Question : Two trains 150 m and 120 m long respectively moving from opposite directions cross each other in 10 seconds. If the speed of the second train is 43.2 km/hr, then the speed of the first train is:
Option 1: 54 km/hr
Option 2: 50 km/hr
Option 3: 52 km/hr
Option 4: 51 km/hr
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 : A car covers the first 140 km of a journey in 10 hours and the next 260 km in 15 hours. What is the average speed of the Car for the whole journey?
Option 1: 16 km/hr
Option 2: 14 km/hr
Option 3: 10 km/hr
Option 4: 15 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 3: 45 km/hr
Option 4: 35 km/hr
Question : If a train travels 1000 km from Bangalore to Mumbai and the journey takes 10 hours, then what is the train's average speed in km per hour?
Option 1: 100 km/hr
Option 2: 90 km/hr
Option 3: 120 km/hr
Option 4: 80 km/hr
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