A clock takes 6 seconds to strike 4 times at 4 o'clock. How many seconds will it take to strike 6 times at 6 o'clock?

Question

Eli Assouline · Accepted Answer

It will take #"9 seconds"# for the clock to strike 6 times.

Set up a proportion. Let #x# represent the time in seconds that it takes to strike 6 times. #x/(6" strikes")=(6" seconds")/(4" strikes")# Multiply #"6 strikes"# by #(6"seconds")/(4"strikes")#. #x=6color(red)cancel(color(black)(" strikes"))xx(6" seconds")/(4color(red)cancel(color(black)(" strikes")))="9 seconds"#

Eli Assouline · Answer

undefined To find out how many seconds it will take for the clock to strike 6 times at 6 o'clock, we can set up a proportion based on the relationship between the number of strikes and the time taken.

At 4 o'clock, the clock strikes 4 times in 6 seconds. So, the ratio of strikes to time is $ \frac{4}{6} $ strikes per second.

Now, we need to find out how many seconds it will take for the clock to strike 6 times.

Let $ x $ be the number of seconds it will take to strike 6 times.

Setting up the proportion:

$$
\frac{4}{6} = \frac{6}{x}
$$

Cross-multiplying:

$$
4x = 6 \times 6
$$

$$
4x = 36
$$

Dividing both sides by 4:

$$
x = \frac{36}{4}
$$

$$
x = 9
$$

So, it will take 9 seconds for the clock to strike 6 times at 6 o'clock.