Senny and farouk both drive delivery trucks. they leave the warehouse at the same time, but their routes are in opposite directions. senny's rate is 10 mph more than farouk's rate. after 6.5 hours, they are 520 miles apart. what are the rates of the trucks?

Senny: 45 mph; Farouk: 35 mph

Step-by-step explanation:

Their combined speed is 520 mi/(6.5 h) = 80 mi/h. Senny's speed is half the sum of this and the difference of 10 mi/h:

... (80 mi/h + 10 mi/h)/2 = 45 mi/h

Farouk's speed is 10 mi/h less:

... 45 mi/h - 10 mi/h = 35 mi/h

Comment on Sum and Difference Problems

If two numbers a and b have a sum of s and a difference of d, you can write equations ...

Adding these two equations gives ...

... 2a = s + d

Dividing this by 2 gives

... a = (s + d)/2 . . . . . . the formula we used above

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

exactly you go it

step-by-step explanation: