Train A takes 16 hours to reach Mumbai from Delhi while Train B takes 20 hours. The ratio of the speeds of both the trains (A:B) is ______.Options 1:4 4:5 5:4 3:2
Question
Train A takes 16 hours to reach Mumbai from Delhi while Train B takes 20 hours. The ratio of the speeds of both the trains (A:B) is ______.Options 1:4 4:5 5:4 3:2
Solution
The speed of a train is given by the distance it travels divided by the time it takes. In this case, we are assuming that both trains are traveling the same distance, so the speed is inversely proportional to the time taken.
Train A takes 16 hours and Train B takes 20 hours.
To find the ratio of their speeds, we take the inverse of the ratio of their times.
The ratio of their times is 16:20.
To find the inverse, we simply flip the ratio, so the ratio of their speeds is 20:16.
We can simplify this ratio by dividing both numbers by 4, which gives us 5:4.
So, the ratio of the speeds of Train A to Train B is 5:4.
Therefore, the correct option is 5:4.
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