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Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds. How does Steve's time compare to Paul's?

A. Steve is 5⁄6 as fast as Paul
B. Steve is 1⁄2 as fast as Paul
C. Steve is 1⁄2 slower than Paul
D. Steve is 5⁄6 slower than Paul

Respuesta :

Answer is A

Why:

Steve's speed is 100/10 or 50/5

Paul's speed is 100/12 or 50/6

if you calculate this by using gcd, you will see that steve is 5/6 faster than paul

Let

x---------> Steve's time

y-------->  Paul's time

we know that

[tex]x=10\ s\\y=12\ s[/tex]

[tex]x < y[/tex] ------> Steve is faster than Paul

Divide x by y

[tex]\frac{10}{12}=\frac{5}{6}[/tex]

therefore

the answer is the option

A. Steve is 5⁄6 as fast as Paul