A motorist drove 150 miles in the morning and;
50 miles in the afternoon
His average rate in the morning was twice his average rate in the afternoon
He spent 5hrs driving
Let the times spent driving in the morning be x
Average speed = Distance ÷ time
= 2()
Cross multiplying gives;
750 - 150x = 100x
250x = 750 , x =3
Average speed in the morning is 150/3 = 50miles/hr
Average speed in the afternoon = 50/(5-3) = 25miles/hr
Answer:
x = 13
Step-by-step explanation:
The relevant fact about vertical angles is that they are congruent, their measures are equal. This lets you write an equation relating the expressions for the measures of angles A and B.
__
∠A = ∠B
(8x -12)° = (6x +14)° . . . . . substitute given expressions
2x = 26 . . . . . . . . . . . divide by °, add 12-6x
x = 13 . . . . . . . . . . divide by 2
Instead of subtracting 10, you can add negative 10