Jim and shirley, working together, can rake the yard in 3 hours. working alone, shirley takes three times as long as jim. how long does it take jim to rake the yard alone?

4 hours

Step-by-step explanation:

Let time taken by Jim to rake be x hours

Jim's rate will be 1/x

Let y be time taken by Shirley to rake alone

Shirley's rate is 1/y which is equivalent to 1/3x since Shirley takes three times as long as Jim to imply Shirley's rate is slow

Total rate=1/x+1/3x=4/3x

Combined rate=4/3x which it takes them 3 hours hence a rate of 1/3

Therefore

4/3x=1/3

x=4 hours

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

7

step-by-step explanation:

the answer would be 7