A mammalogist records that a caribou herd migrates 18 km per day during peak migration. If they cover 324 km over several days but rest every fifth day (migrating only on non-rest days), how many total days does the migration take? - jntua results
How Many Days Does a Caribou Herd Take to Migrate 324 km?
A Mammalogist’s Insight into Daily Migration Patterns and Total Migration Duration
How Many Days Does a Caribou Herd Take to Migrate 324 km?
A Mammalogist’s Insight into Daily Migration Patterns and Total Migration Duration
Understanding the migration habits of large mammals like caribou reveals fascinating details about their survival strategies and environmental adaptation. According to recent field observations by a leading mammalogist, caribou herds migrate at an impressive rate of 18 kilometers per day during peak migration periods. For example, researchers recorded that a particular herd travels consistently 324 kilometers across their seasonal journey—but crucially, they rest every fifth day, meaning migration occurs only on non-rest days.
The Daily Migration and Rest Cycle
Understanding the Context
The key to calculating the total migration time lies in understanding the pattern:
- Migration Days: Caribou move 18 km/day.
- Rest Days: Every fifth day, they do not migrate.
- Distance per Migration Day: 18 km
To cover 324 km at a rate of 18 km/day, the number of actual migration days required is:
> 324 km ÷ 18 km/day = 18 migration days
Key Insights
Since the herd rests every fifth day, every cycle includes 4 migration days followed by 1 rest day—a total of 5 calendar days per cycle.
Now, divide total migration days by 4:
> 18 migration days ÷ 4 = 4.5 cycles
This means 4 full rest days are taken after each of the first four cycles, but since the herd finishes migration after the 18th migration day—without waiting for a rest day—they complete migration before the fifth rest day occurs.
Calculate total calendar days:
4 full cycles × 5 days = 20 days
Plus the 3 remaining migration days (to complete 18 days without needing a rest day at the end)
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Total migration days:
18 (active migration days) + 3 days (to reach 18 km without resting on the final stretch) = 21 calendar days
Summary
- Caribou migrate 18 km/day during peak movement.
- They cover 324 km total.
- They rest every 5th day.
- Total migration days: 18 days (active movement)
- Adding 3 extra days to complete the final 18 km (since 18 ÷ 4 = 4.5 cycles → 18/4 × 4 = 16 days on rest days, and 2 more migration days needed beyond that).
- Final total migration period: 21 calendar days
This efficient rhythm enables caribou to sustain their long-distance migration across harsh terrains, balancing energy conservation with forward progress. Mammalogists emphasize such patterns are vital for population resilience and ecological balance.
For further research on caribou migration dynamics and survival strategies, consult recent studies by North American mammalogists fielding in remote Arctic and subarctic regions.
