The 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?Options165180350105
Question
The 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?Options165180350105
Solution
First, let's find the speed of the first train. Speed is distance divided by time. So, the speed of the first train is 350 km divided by 5 hours, which equals 70 km/h.
The ratio of the speeds of the two trains is 2:5. This means that for every 2 units of speed the first train has, the second train has 5 units of speed.
Since we know that the speed of the first train is 70 km/h, we can set up the following equation to find the speed of the second train:
2/5 = 70/x
Solving for x gives us x = 175 km/h. This is the speed of the second train.
The difference in speed between the two trains is 175 km/h - 70 km/h = 105 km/h.
So, the difference in speed between the two trains is 105 km/h.
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