Question

Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 words ,convert between standard decimal notation and scientifc​

Answer 1

Dana can type 90 words per minute.

Since, 1 minute = $\frac{1}{60}$ hours

Therefore, number of words she can type = $\frac{90}{\frac{1}{60}}$

                                                                      = 90×60

                                                                      = 5400 words per hour

If she types $2.6\times 10^5$ words in 'x' hours.

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= $5400\times x$

Therefore, $5400\times x =2.6\times 10^5$

$5400x=260000$

$x=\frac{260000}{5400}$

$x=48.15$ hours

Therefore, Dana types $2.6\times 10^5$ words in 48.15 hours.

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