(a^2 + 3a - 18 / a^2 - 5a +6)(5a - 10 / a^2 -36)

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sophiaa23

29.10.2020

Mathematics

total distance need to cover by all runners in a relay race = 1/2 km.

fraction that each runner on a team will run = 1/4th of the total distnace.

total distance given is 1/2 km.

therefore, each runner on a team will run 1/4th of the total distnace = 1/4 of 1/2km.

1/4 of 1/2km can be expressed as $(\frac{1}{4} \times \frac{1}{2})km$

on simplifying above expression

$\frac{1}{4} \times \frac{1}{2}= \frac{1}{4\times2}=\frac{1}{8} km.$

therefore, each runner on a team will run = 1/8 km.

number of runners required to cover all distance = total distance ÷ distnace covered by each runner in the team.

= $\frac{1}{2}$ ÷ $\frac{1}{8}$

now, we will convert division sign into multiplication and flip right side fraction 1/8.

$\frac{1}{2}$ × $\frac{8}{1}$

= $\frac{1 \times8}{2\times1}$

= $\frac{8}{2}$

dividing 8 by 2, we get 4

therefore, number of runners required to cover all distance = 4 runners.

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