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Question
an object is traveling at a steady speed of $10\frac{1}{10}$ km/h. how long will it take the object to travel $1\frac{9}{10}$ km? first round to the nearest integer to find the estimated answer. then find the exact answer.
estimate the answer.
it takes the object about \\(\square\\) minute(s) to travel $1\frac{9}{10}$ km.
Step1: Round the speed and distance
Round \( 10\frac{1}{10} \) km/h to the nearest integer, which is 10 km/h. Round \( 1\frac{9}{10} \) km to the nearest integer, which is 2 km.
Step2: Calculate time in hours
Use the formula \( \text{time} = \frac{\text{distance}}{\text{speed}} \). So, \( \text{time} = \frac{2}{10} = 0.2 \) hours.
Step3: Convert hours to minutes
Since 1 hour = 60 minutes, multiply 0.2 by 60: \( 0.2 \times 60 = 12 \) minutes.
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