a bicyclist traveling at an average speed of 18 km/h takes 3 hours and 30 minutes to complete his journey. How many hours less will he take if he bicycles at a speed which is 3 km/h faster

It will take him 0.5 (30 minutes) less hours if he bicycles at a speed that is 3km/h faster.

Step-by-step explanation:

18 km/h x 210 minutes = 3,780

3,780/21km = 180 minutes = 3 hours

If we multiply the speed by the time we can find the distance, using that we can find the time it takes to travel the same distance with more speed (21km/s this time).

Therefore, it will take 30 minutes less if he travels 2 km/s faster or 0.5 less hours

I hope this helps!

y > 1/3x

y < = -x + 4

hope this : )

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 .