The family car leaves the house 112 hours after the moving van and follows the same route. The moving van travels at an average speed of 45 miles per hour. The family car travels at an average speed of 60 miles per hour. After how many hours of driving will the family car catch up to the moving van?

336 hr

Step-by-step explanation:

Given

The speed of the van is 45 mph

The speed of the family car is 60 mph

distance traveled by van in 112 hours is

After 112 hours family car started its Journey. Suppose, van travels another x miles after the family car started its Journey

So, distance traveled by the family car in 't' hours

So, after traveling 336 hr, the family car will catch the van

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

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 .