Answer :
Final answer:
To find how long it will take for the train to cover the same distance at an increased speed, we use the formula distance = speed x time. We can rearrange the formula to find the time: time = distance / speed.
Explanation:
To find the time it takes for the train to cover the same distance at an increased speed, we need to determine the distance first. We know that the train can cover the distance in 45 minutes at a speed of 80 km/hr. Since speed is equal to distance divided by time, we can rearrange the formula to find the distance: distance = speed x time. Plugging in the given values, we have distance = 80 km/hr x 45 min.
Now, to find the time it will take to cover the same distance at an increased speed, we can use the formula again. Let's call the increased speed s. So, the distance covered at the increased speed will be the same, d = s x t.
We can substitute the value calculated for the distance and solve for t:
80 km/hr x 45 min = s x t.
Rearranging the formula gives us t = (80 km/hr x 45 min) / s.
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