Two rainstorms occurred in one week. First storm 15 mL of rain fell per hour. Second storm 30 mL of rain fell per hour. The rain lasted for a total of 70 hours with a total of 1500 mL. What was the duration of each storm?

The answer to your question is the first rain lasted 40 hours and the second rain lasted 30 hours.

Step-by-step explanation:

Data

1st 15 ml/h = x

2nd 30 ml/h = y

Total time = 70 h and 1500 ml

1. - Write 2 equations

First rain + second rain = 70 h

x + y = 70 (I)

15x + 30 y = 1500 (II)

2. - Solve equations by elimination

Multiply first equation by - 15

-15x - 15y = - 1050

15x + 30y = 1500

0x + 15y = 450

y = 450 / 15

y = 30 h

x + 30 = 70

x = 70 - 30

x = 40 h

3. - Conclude

The first rain lasted 40 h and the second rain lasted 30 h.