Peter, paul and mary, whose walking rates are 1 ft/sec, 3 ft/sec and 6 ft/sec, start walking together in the same direction around a circular track that is 300 feet in circumference. after how many minutes are peter, paul and mary together again?

250 seconds because it takes Mary 50 seconds to get around the track (300feet/6ft/sec) and it takes Peter 300 seconds to get around the track (300ft/1ft/sec) so if you subtract the fastest time from the shortest time you get the amount of time that Mary had to wait for Peter to get there, so after 250 sec (300sec-50sec) Peter, Paul, and Mary are reunited.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!