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A large ice floe is floating toward a polar bear 77 kilometers away at a speed of 22 kilometers per hour. At the same time, the polar bear is swimming toward the ice floe at 55 kilometers per hour. How long will it be before the polar bear reaches the ice floe? If necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes

Full solution

Q. A large ice floe is floating toward a polar bear 77 kilometers away at a speed of 22 kilometers per hour. At the same time, the polar bear is swimming toward the ice floe at 55 kilometers per hour. How long will it be before the polar bear reaches the ice floe? If necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes
  1. Calculate Combined Speed: Calculate the combined speed of the ice floe and the polar bear.\newlineSpeed of ice floe: 22 kilometers per hour\newlineSpeed of polar bear: 55 kilometers per hour\newlineCombined speed = Speed of ice floe + Speed of polar bear\newlineCombined speed = 2km/h+5km/h2 \, \text{km/h} + 5 \, \text{km/h}\newlineCombined speed = 7km/h7 \, \text{km/h}
  2. Calculate Time to Reach: Calculate the time it will take for the polar bear to reach the ice floe.\newlineDistance between the polar bear and the ice floe: 77 kilometers\newlineCombined speed: 77 kilometers per hour\newlineTime == Distance // Speed\newlineTime == 77 km // 77 km/h\newlineTime == 11 hour
  3. Convert Time to Hours: Convert the time to hours and minutes.\newlineSince the time calculated is exactly 11 hour, there is no need to convert to minutes.

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