If a wall clock takes 10 seconds to strike 10, how long will it take to strike 12? (in seconds)
- AOption (a)
\(9\frac{2}{9}\)
- BOption (b)
\(11\frac{2}{9}\)
- COption (c)
\(12\frac{2}{9}\)
- DOption (d)
\(10\frac{2}{9}\)
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Correct answer
\(12\frac{2}{9}\)
Why this answer is correct
Let's analyze the problem. When a clock strikes 10, it chimes 10 times. The time between the first and the tenth chime is 10 seconds. This means that there are 9 intervals between the 10 chimes.
Let's denote the time between chimes as t seconds. Therefore, we can write the equation:
9t = 10
Now, when the clock strikes 12, there are 11 intervals between the 12 chimes. We can find the total time it takes to strike 12 by using the equation:
11t = Total time to strike 12
Let's calculate the total time it takes to strike 12.
The total time it takes for the clock to strike 12 is 110/9 seconds. This can be converted to a mixed number for easier understanding. Let me do that.
The total time it takes for the clock to strike 12 is \(12\frac{2}{9}\) seconds.