The Yukon Quest, an annual dog-sled race between Whitehorse in the Yukon and Fairbanks in Alaska, covers a gruelling distance of 1.61 × 103 km. Assuming that the average speed of the dog team that set a course
record is 6.28 km/h, determine the best time for this race. Express your answer in days, hours, and minutes.
Time (hours)
= Distance (km) ÷ Speed (km/h)
Divide by 24 to convert into days.
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To determine the best time for this race, we need to divide the distance of the race by the average speed of the dog team.
The distance of the Yukon Quest is 1.61 × 10^3 km and the average speed is 6.28 km/h.
So, the time it would take to complete the race can be calculated using the formula: time = distance / speed.
Plugging in the values, we get: time = (1.61 × 10^3 km) / (6.28 km/h).
Calculating this, we find that it would take approximately 256.33 hours to complete the race.
To convert this time into days, hours, and minutes, we can divide the total hours by 24 to get the number of days, and then use the remainder to determine the remaining hours and minutes.
256.33 hours = 10 days and 16.33 hours.
Since there are 24 hours in a day, we can convert the remaining 16.33 hours to minutes.
16.33 hours = 16 hours + 0.33 hours = 16 hours + (0.33 * 60 minutes) = 16 hours + 19.8 minutes.
So, the best time for this race would be approximately 10 days, 16 hours, and 19.8 minutes.