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enot [183]
3 years ago
11

At a track meet, Jacob and Daniel complete in the 220 m hurdles. Daniel finishes in 3/4 of a minute. Jacob finishes with 5/12 of

a minute remaining. Who ran the race in the faster time.
Bonus: Express the difference in their times as a fraction of a minute.
Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
6 0
Well, 60(sec.) divided by 4 = 15. 15x3= 45 seconds is Daniel's time.
60 divided by 12 = 5. 5x5 = 25 seconds is Jacob's time. Jacob finished faster. Hope this helps!
Pavel [41]3 years ago
5 0

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.

LEARN MORE:

Track brainly.com/question/362542

KEYWORDS:

  • Seconds
  • Minute
  • Fraction
  • Difference
  • Time
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Given that an adult likes soccer, what is the probability the adult is aged 18–30? 8.1% 18.1% 24.5% 44.4%
dsp73

The probability that an adult likes soccer is aged between  18–30 will be 44.4%.

We have an adult who likes soccer.

We have to determine the probability the adult is aged 18–30.

<h3>What is Probability?</h3>

The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A)  =  \frac{n(A)}{n(S)}

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes.

According to question, we have an adult likes soccer.

The answer to this question is based on the hypothesis that the adults between 18 - 30 are highly energetic. To be more precisely - the adults in the range 18 - 24 and 24 - 30 are highly energetic and full of stamina. Above the age 30, the number of adults who like soccer will start to decrease and will hit nearly zero between the age range of 55 - 65 as the adults in this age group found it very difficult to even walk.

Mathematically -

The probability of an event A = an adult likes soccer is aged between  18–30 will be the highest value among the ones mentioned in options.

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