Answer: speed of the car is 88 miles per hour
the speed of the motorcycle is 78 miles per hour
Step-by-step explanation:
Number of miles travelled by car = 312
Number of miles travelled by motorcycle = 272
Let x = speed of the car
Let y = speed of the motorcycle
If the car's speed is 10mph more than the motorcycle's, it means
x = y + 10 - - -- - - 1
Time taken for car to travel 312 miles is distance /speed = 312/x
Time taken for motorcycle to travel 272 miles is distance /speed = 272/y
The car travels 312 miles in the same time that a motorcycle traveled 272.
This means
312/x = 272/y
312y = 272x
y = 272x/312
Substituting y = 272x/312 into equation 1, it becomes
x = 272x/312 + 10
312x = 272x + 3120
312x-272x = 3120
40x = 3120
x = 3120/40 = 78 miles per hour
x = y + 10 = y + 78
x = 88 miles per hour
In:mi
2 = 30
x = 120
2/30=x/120
(Cross Multiply)
30x= 240
30x/30=240/30
X=8
Answer:
3/13
Step-by-step explanation:
There are 52 card in a deck of cards
12 of them are face cards 3 cards *4 suits =12
P (face card) = 12/52 = 3/13
Answer:
-2 by 1
Step-by-step explanation:
idk
Simplify the ration expression

start by seeing if anything in the numerator or denominator can be factored,
you should notice that you can factor out a 3 from 3x-6 in the numerator
when you do so, the result is

now, since there is an x-2 in the numerator and denominator, they "cancel" out since

however, only when

since

when you cancel out the x-2, you're left with 3
hence, your answer is C