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A large ice floe is floating at a speed of 44 kilometers per hour. A polar bear leaves the floe and swims in the opposite direction at 77 kilometers per hour. How long will it be before the polar bear is 11 kilometer away from the floe? If necessary, round your answer to the nearest minute.\newline____\_\_\_\_ hours and ____\_\_\_\_ minutes

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Q. A large ice floe is floating at a speed of 44 kilometers per hour. A polar bear leaves the floe and swims in the opposite direction at 77 kilometers per hour. How long will it be before the polar bear is 11 kilometer away from the floe? If necessary, round your answer to the nearest minute.\newline____\_\_\_\_ hours and ____\_\_\_\_ minutes
  1. Given Speeds: We have:\newlineSpeed of ice floe: 44 kilometers per hour\newlineSpeed of polar bear: 77 kilometers per hour\newlineFind the combined speed of the ice floe and the polar bear since they are moving in opposite directions.\newlineSpeed of ice floe + Speed of polar bear = Combined speed\newline4+7=114 + 7 = 11\newlineCombined speed: 1111 kilometers per hour
  2. Combined Speed Calculation: Combined speed: 1111 kilometers per hour\newlineIdentify the time taken by the polar bear to be 11 kilometer away from the floe.\newlineRound your answer to the nearest thousandth.\newlineTime =DistanceCombined speed= \frac{\text{Distance}}{\text{Combined speed}}\newline=111= \frac{1}{11}\newline0.0909\approx 0.0909 hours
  3. Time Calculation: Time taken: 0.09090.0909 hours\newlineIdentify the number of hours and minutes.\newlineRound your answer to the nearest minute.\newlineIn 0.09090.0909, the number of hours is 00.\newline0.0909×60=5.45450.0909 \times 60 = 5.454 \approx 5 minutes\newlineSo, it will be 00 hours and 55 minutes before the polar bear is 11 kilometer away from the floe.

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