Adam and beth each drove from smallville to crown city by different routes. adam drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. beth's route was 5 miles longer, and it took her 20 minutes more than adam to complete the trip. how many miles per hour was beth's average speed on this trip?

Adam's average speed = 40 miles per hr

time for the trip = 30 minutes = 0.5 hrs

Distance travelled by adam = speed * time = 40 * 0.5 = 20 miles

Distance travelled by Beth is 5 miles longer means 20 + 5 = 25 miles

Time took by Beth is 20 minutes more means = 30 + 20 = 50 minutes = 0.83 hrs

Average speed of Beth = distance / time = 25 / 0.8333

Average speed of Beth = 30 miles : Answer

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step-by-step explanation:

where is the question is there is a formula or is there not one

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)