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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?

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joseaaronlara

Answer:

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.

                           

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