Let speed of the boat in still water = x miles per hour
Let speed of the current = y miles per hour
When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)
now plug the given values in formula speed=distance/time
we get equation:
(x+y)=160/8
or x+y=20...(i)
When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)
now plug the given values in formula speed=distance/time
we get equation:
(x-y)=160/40
or x-y=4
or x=4+y...(ii)
plug value of x into (i)
4+y+y=20
4+2y=20
2y=16
y=8
plug value of y into (ii)
x=4+8=12
Hence final answer is given by:
Speed of the boat in still water = 12 miles per hour
Speed of the current = 8 miles per hour
number of pockets inside jacket
Answer:
I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.
Steph-by-step explanation:
The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour
Rewrite it in the form a^2 - b^2, where a = 5x and b = 8
(5x)^2 - 8^2
Use the Difference of Squares; a^2 - b^2 = (a + b)(a - b)
<u>= C. (5x - 8)(5x + 8)</u>
The commutative property of multiplication.
