In 20092009, Usain Bolt set the world record for sprinting 100 \text{ m}100 m in approximately 9\dfrac359 5 3 ? seconds. Find his average speed in meters per second.

Question

asked Feb 7, 2019 164k views

2 Answers

Johnc · Answer 1 · 2019-02-13T23:27:08+0000

Answer:

$10(5)/(12)\approx 10.42$ meters per second.

Step-by-step explanation:

We have been given that in 2009, Usain Bolt set the world record for sprinting 100 m in approximately
9(3)/(5) seconds.

To find average speed of Usain Bolt in meters per second we will divide 100 by
9(3)/(5) .

Let us concert
9(3)/(5) in improper fraction.

9(3)/(5)=(48)/(5)

$\text{Average speed of Usain Bolt}=100/(48)/(5)$

Since we know that dividing a number by fraction is same as multiplying the number by reciprocal of the fraction.

$\text{Average speed of Usain Bolt}=100*(5)/(48)$

$\text{Average speed of Usain Bolt}=(500)/(48)$

$\text{Average speed of Usain Bolt}=(125)/(12)=10(5)/(12)$

$\text{Average speed of Usain Bolt}=10(5)/(12)\approx 10.42$

Therefore, the average speed of Usain Bolt is
$10(5)/(12)\approx 10.42$ meters per second.