Jeff hiked to the top of mt whitney from the trail head a distance of 14 miles. Jon after camping overnight on the trail hiked only 12 miles to the top of mt whitney. If jeff and jon were both hiking for the same amount of time, and jon hiked 1mph slower then jeff how fast did each man hime

Jeff’s speed is 7 mph

Jon’s speed is 6 mph

Step-by-step explanation:

Since the time spent by each is same, let us call the number of hours x

Mathematically;

Time = distance/speed

Let us call Jeff’s speed y

x = 14/y ••••••(i)

For Jon

he hiked 1 mph slower, so his speed will be (y-1) mph

x = 12/(y-1)

Since x is equal in both cases

14/y = 12/y-1

14(y-1) = 12y

14y -14 = 12y

14y-12y = 14

2y = 14

y = 14/2

y = 7 mph

Jon is 1 mph slower which is 7-1 = 6 mph

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .