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After raining for 3/4 of an hour, a rain gauge is 2/5 filled. If it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?

To help answer this question, Diego wrote the division equation 3/4 ÷ 2/5 = ?. Explain why this equation does not represent the situation.

Respuesta :

Number of minutes in 3/4 of an hour is :

n = 3/4 × 60 = 45 minutes.

Now, If it continues to rain at that rate for 15 more minutes :

So, time taken = 45 + 15 min = 1 hour.

Let, rain gauge is filled x fraction in 1 hour.

So,

[tex]\dfrac{3}{4}x = \dfrac{2}{5}\times 1\\\\x = \dfrac{8}{15}[/tex]

Hence, this is the required solution.

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