2 rainstorms occurred in one week in a certain area in the first storm, 15ml of rain fell per hour, and in the second storm, 20ml of rain fell per hour. rain lasted for a total of 40 hours, resulting in a total rain of 675ml. how long was each storm.

Question

2 rainstorms occurred in one week in a certain area in the first storm, 15ml of rain fell per hour, and in the second storm, 20ml of rain fell per hour. rain lasted for a total of 40 hours, resulting in a total rain of 675ml. how long was each storm.

1st storm = hours
2nd storm=hours

Answer 1

Please don't switch names.

let length of first storm be x hrs.
then length of second storm is 40-x hrs

solve 15x + 20(40-x) = 675

Answer 2

To determine the duration of each storm, we need to make use of the given information. We know that the total amount of rain in both storms combined is 675ml, and the total duration of both storms is 40 hours.

Let's assign variables:
Let x be the duration of the first storm in hours.
Let y be the duration of the second storm in hours.

We can set up two equations using the information given:

Equation 1: 15 ml/hour * x hours = amount of rain in the first storm
Equation 2: 20 ml/hour * y hours = amount of rain in the second storm

Also, we have the equation for the total amount of rain:
15x + 20y = 675

To solve for x and y, we can use substitution or elimination.

Using substitution:
From Equation 2, we can solve for y:
y = (amount of rain in the second storm) / 20
Substituting this value of y into Equation 1:
15x + 20 * ((amount of rain in the second storm) / 20) = 675
15x + amount of rain in the second storm = 675
15x + 20y = 675
15x + 20((675 - 15x) / 20) = 675
Simplifying:
15x + 675 - 15x = 675
675 = 675

Since the equation simplifies to 675 = 675, this means that the duration of the first storm (x) can be any value because it doesn't matter how long it lasted. The second storm will automatically adjust to make the total duration 40 hours.

Therefore,
The duration of the first storm can be any number of hours.
The duration of the second storm would be (total duration - duration of the first storm).
So, the duration of the second storm would be 40 - (duration of the first storm).
In summary, the duration of the first storm can be any number of hours, and the duration of the second storm would be 40 minus the duration of the first storm.