Question

Rocky finished a 200-meter race in 5/12 of a minute. The winner of the race used 21/25 of Rockys time to finish the race. How much time did the winner use to finish the race?

Answer 1

The winner took 21 seconds to finish the race.

Explanation:

Step 1:

First, we need to determine how long it took Rocky to finish the race. We need to calculate how much
`(5)/(12)` of a minute is.

We multiply the given fraction with the number of seconds in a minute to find out how long it took for Rocky.

The number of seconds in
`(5)/(12)` of a minute =
`(5)/(12) (60) = 25`.

It took Rocky 25 seconds to finish the race.

Step 2:

The winner of the race finished in
`(21)/(25)` of Rocky's time.

We need to calculate how much
`(21)/(25)` of Rocky's time is.

We multiply the fraction with Rocky's time.

The number of seconds in
`(21)/(25)` of Rocky's time =
`(21)/(25) (25) = 21.`

So the winner took 21 seconds to finish the race.

Answer 2

The winner uses 21 seconds to finish the race.

Explanation:

Step 1 :

Time taken by Rocky to finish the race = 5/12 of a minute

Time taken by the winner to finish the race = 21/25 of Rocky's time

We need to find the actual time taken by the winner to finish the race.

Step 2 :

5/12 of a minute = 5/12 × 60 = 25 seconds

Hence Rocky takes 25 seconds to finish the race.

Since the winner takes
`(21)/(25)` of Rocky's time to finish the race,

the actual time taken by the winner is
`(21)/(25)` × 25 = 21 seconds

Step 3 :

The winner uses 21 seconds to finish the race.