Category: Quantitative Reasoning
Difficulty: Medium
Result: Wrong
11. If 3 men can dig a 3 x 2 x 4 meter hole in 20 minutes, how long will it take 6 men to dig a 4 x 4 x 3 meter hole?
- 5 minutes
- 10 minutes
- 12 minutes
- 15 minutes
- 20 minutes◀ Correct Answer
Your Answer: No Answer Given
This question involves proportional reasoning and problem-solving with rates of work. It asks how long it will take 6 men to dig a 4 x 4 x 3 meter hole if 3 men can dig a 3 x 2 x 4 meter hole in 20 minutes.
First, calculate the volume of the two holes:
- The first hole has a volume of 3 * 2 * 4 = 24 cubic meters.
- The second hole has a volume of 4 * 4 * 3 = 48 cubic meters.
Now, find the ratio of the volumes. The second hole is 48 / 24 = 2 times the size of the first hole.
Since the second hole is twice the volume, it would take twice as long for the same number of men to dig it. However, we are doubling the number of men from 3 to 6, which halves the time required.
Therefore, the total time to dig the larger hole is the same as the time to dig the smaller hole: 20 minutes.