A freight company loads a truck in 4 hours with 2 loaders. A third loader joins after 1 hour. How long will it take to load completely?
Correct answer: B. 3.2 hrs
- A. 3 hrs
- B. 3.2 hrs
- C. 3.5 hrs
- D. 4 hrs
Explanation
The initial work rate with 2 loaders is 1 truck per 4 hours, or 1/4 of the truck per hour. After 1 hour, 1/4 of the truck is loaded. When the third loader joins, the work rate increases to 3 loaders, contributing 3/4 of the truck per hour. The remaining 3/4 of the truck is then completed in 1 hour (1/4 already done) plus 2.2 hours, totaling 3.2 hours. Option B reflects this calculation accurately. Options A and C are incorrect as they miscalculate the effect of the third loader, while Option D ignores the added help entirely.
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