Jacob ran the race in the faster time
Further Explanation:
Daniel complete the hurdle at = 3/4 of a minute
Recall, 1 minute = 60 seconds
Therefore, Daniel complete the hurdle at 3/4 of 60 [secs]
= 3/4 x 60
= 3 x 60 ÷ 4
= 180 ÷ 4
= 45 seconds
Jacob complete the hurdle with a remainder = 5/12 of a minute
Recall, 1 minute = 60 seconds
Therefore, Jacob complete the hurdle with the remainder of 5/12 of 60 [secs]
= 5/12 x 60
= 5 x 60 ÷ 12
= 300 ÷ 12
= 25 seconds
To find out how many minute Jacob used to complete the race:
60 seconds – 25 seconds=
= 35 seconds
Since Daniel complete the race in 45 seconds, and Jacob complete the race in 35 seconds, in Athletics, the fastest of the two in completing the race is Jacob because, the time at which he complete the race is not greater than the time at which Daniel complete the race. And as such, the fastest of the two (Jacob) whose time is lesser is adjudged the winner of the race.
Deriving the difference in their times as a fraction of a minute:
The difference in their times is expressed as:
Daniel’s time [45 seconds] – Jacob’s time [35 seconds]
Therefore,
= 45 – 35
= 10 seconds
Expressing the difference as a fraction of a minute:
Since 1 minute = 60 seconds
Hence, the fraction would be:
10/60
= 1/6
The given answers were derived as a result of the usage of Multiplication, Division and Subtraction, being functions of a number problem in mathematics.
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KEYWORDS:
- Seconds
- Minute
- Fraction
- Difference
- Time
