At 8: 00 am a bicyclist departed city a, heading towards city b at a rate of 20 km/h. after traveling for 4 hours he stopped for an hour break. at the same time, a biker left city a traveling in the same direction at the rate of 50 km/h. how long will it take the biker to catch up to the cyclist?

2 hours and 40 minutes

Step-by-step explanation:

After 4 hours, 1st person went 20 * 4 = 80 km

+1 hours rest

So now after total 5 hours (when 2nd one started), 1st one is 80 km ahead.

2nd bicyclist rate is 50

1st bicyclist rate is 20

So, for each hour, 2nd bicyclist advances 50 - 20 = 30 kilometers

How long will it take him, at this rate, to catch up 80 kilometers??

Simple!

30 km catch up every hour, so

80/30 = 2 2/3rd hours

That would be 2 hours 40 minutes to catch up

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.