Select the correct answerThe ratio between the speeds of two trains is 2 : 5. If the first train covers 350 km in 5 hours, then the difference between the speed (in km/h) of both the trains is?Options165350105180
Question
Select the correct answerThe ratio between the speeds of two trains is 2 : 5. If the first train covers 350 km in 5 hours, then the difference between the speed (in km/h) of both the trains is?Options165350105180
Solution 1
To solve this problem, we first need to find the speed of the first train.
Speed is calculated by dividing the distance covered by the time taken. So, the speed of the first train is 350 km / 5 hours = 70 km/h.
The ratio of the speeds of the two trains is 2:5. This means that if the first train's speed is 2x, the second train's speed is 5x.
We know that the speed of the first train is 70 km/h, so 2x = 70 km/h. Solving for x gives us x = 35 km/h.
Therefore, the speed of the second train is 5x = 5 * 35 km/h = 175 km/h.
The difference in speed between the two trains is 175 km/h - 70 km/h = 105 km/h.
So, the correct answer is 105.
Solution 2
The speed of the first train is calculated by dividing the distance covered by the time taken.
So, Speed of first train = 350 km / 5 hours = 70 km/h
The ratio of the speeds of the two trains is 2:5. This means that if the first train's speed is 2x, the second train's speed is 5x.
We know that the speed of the first train is 70 km/h. So, 2x = 70 km/h.
Solving for x, we get x = 70/2 = 35 km/h.
Therefore, the speed of the second train is 5x = 5*35 = 175 km/h.
The difference in speed between the two trains is 175 km/h - 70 km/h = 105 km/h.
So, the correct answer is 105.
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