In the morning, Maria drove to a business appointment at 30 mph. Her average speed on the return trip in the afternoon was 20 mph. The return trip took 1/2 hr longer because of heavy traffic. How far did she travel to the appointment?

Step-by-step explanation:

Distance = Speed * Time

If Maria drove to a business appointment at 30 mph, then

d = 30t where d is her distance and t is the time

If her average speed on the return trip in the afternoon was 20 mph and the return trip took 1/2 hr longer, then;

her speed s = 20mph

her time t1 = 1/2 + t

distance d = 20(1/2+t)

Since the distance both going and returnin are the same then:

30t = 20(1/2 + t)

3/2 t = 1/2 + t

3/2 t - t = 1/2

1/2 t = 1/2

t = 1 hr

Substitute t = 1hr into the first equation to get the distance

d = 30t

d = 30(1)

d = 30miles

Hence she travelled 30 miles to the appointment

correct answers below:

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.