Free Practice Question
PS · Problem Solving
655-705
Work Rate Problems
A garrison has enough supplies for 60 days. After 15 days, if they are joined by 600 soldiers and the supplies last for an additional 30 days, how many soldiers were initially in the garrison?
Answer Choices
Correct answer marked belowA
600
1200
Correct
C
3600
D
4200
E
4800
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Explanation
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Official Explanation
Official
Let y be the total number of soldiers originally present. The supplies last for 60 days, so we have the equation: 60y = 15y + 30(y + 600). Simplifying this gives us 60y =…
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S
ShivangiJan 27, 2025
Great!
What this question tests
What it tests
Your ability to combine individual work rates, usually by working with the fraction of a job completed per unit of time.
Common trap
Adding the times instead of the rates, or forgetting to take the reciprocal when combining rates.
Details
Difficulty
655-705
Type
PS
Category