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4 years ago

A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly

chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.

Mathematics

1 answer:

Serggg [28]4 years ago

4 0

$|\Omega|=8\cdot10=80\\ |A|=1\\\\ P(A)=\dfrac{1}{80}$

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Answer:

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Step-by-step explanation:

Given as :

The Distance travel by car A = 175 miles

The Distance travel by car B = 125 miles

The Time taken by both car A and B is same = T hours

Let The speed of car B = S mile per hour

So, The speed of car A = ( S + 20 ) mile per hour

Now, Time = $\frac{Distance}{Speed}$

So , For Car A ,

T = $\frac{175}{(S + 20 )}$

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So, $\frac{175}{(S + 20 )}$ = $\frac{125}{(S}$

Or, 175 × S = 125 × ( S + 20 )

Or, 175 S - 125 S = 125 × 20

Or, 50 S = 2500

∴ S = $\frac{2500}{(50}$

I.e S = 50 mph

And S + 20 = 50 + 20 = 70 mph

The speed of car A = 70 mph

The speed of car B = 50 mph

Hence The speed of car B is 50 mile per hour Answer

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