Question

. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it

take him to fill the bottle?

Answer 1

30 seconds (1/2 minute)

Explanation:

We are given that,

Amount of water filled in 1/6 minute = 1/3

Now, Let the time taken to fill the whole bottle with water be x

Hence,

Through the ratio method we get,

1/3:1/6 : : 1:x

Hence, we need to multiply the extremes and the means together and equalize them.

Hence,

x/3=1/6

x=(1/6)×3

x=(1/2) minute or 30 seconds

Answer 2

1/2 minute

Explanation:

We can use a ratio to solve

1/3 bottle 1 bottle

------------ = --------------

1/6 minute x minutes

Using cross products

1/3x = 1/6 *1

1/3 x = 1/6

Multiply each side by 3

3 * 1/3x = 3 * 1/6

x = 3/6

x = 1/2

1/2 minute