Two trains are on a collision course for a safety test. One train travels at 120km/h east, and the other travels at 180km/h west. When they each start their respective journey, there is a total of 450km of train track in between them. How far apart will they be 90 seconds before they collide?A6 kmB7.5 kmC10 kmD11.5 kmENone of the above
Question
Two trains are on a collision course for a safety test. One train travels at 120km/h east, and the other travels at 180km/h west. When they each start their respective journey, there is a total of 450km of train track in between them. How far apart will they be 90 seconds before they collide?A6 kmB7.5 kmC10 kmD11.5 kmENone of the above
Solution
To solve this problem, we first need to convert the speeds of the trains from km/h to km/s because the time given is in seconds.
1 hour = 3600 seconds
So, the speed of the first train is 120 km/h ÷ 3600 = 0.0333 km/s And the speed of the second train is 180 km/h ÷ 3600 = 0.05 km/s
Since the trains are moving towards each other, we add their speeds together to get the combined speed, which is 0.0333 km/s + 0.05 km/s = 0.0833 km/s.
Now, we can find out how far the trains travel in 90 seconds by multiplying the combined speed by the time:
0.0833 km/s * 90 s = 7.5 km
So, 90 seconds before they collide, the trains will be 7.5 km apart.
Therefore, the answer is B) 7.5 km.
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