Math Question?

Question

Ms. Tinker drove from her home to the ballpark at an average speed of 40 miles per hour. She returned home using the same route at an average speed of 35 miles per hour. The total amount of driving time was 2 hours. How many minutes did it take her to drive home?

Is the answer 80 minutes?

Oh, I just noticed. They give you a multiple choice in answers: 71, 64, 61, 56

Answer 1

let she drive for x hrs to go frm ballpark to her home
therefore distance btwn her home and park will be 35x
therefore time taken to reach ballpark from her home will be distance / speed = 35x/40
but total time is 2 hrs
therefore x +35x/40 = 2
therefore 75x = 80
therefore x = 80/75 hrs
therefore x = 80*60/75 min
therefore x = 64 min

Answer 2

Let x and y be time.
x + y = 2
35y = 40x
y = -x + 2
y = 8/7x
8/7y = -8/7x + 16/7
15/7y = 16/7
y = 16/15
112 = 40x
14/15 = x.
1 hour = 60 minutes. 60/15 = 4. 4 times 14 = 56. 56 minutes were spent driving to the ballpark. 16 times 4 = 64. One hour and 4 minutes were spent driving home.

Answer 3

She lives 37.5 Miles from the ballpark. Her return trip would take 64 minutes. Her trip to the ballpark took 56 minutes.

64 mins + 56 Mins = 2hrs

64 mins is the answer

Answer 4

64
Her average speed was (40+35)/2=37,5
If she took 2 hours, the total distance is 37,5*2=75 miles. So the return journey is 37,5miles. She did that with 35 miles per hour, so the time she took was 37,5/35 hours,multiplied by 60 minutes, 64 minutes.

Answer 5

I think I can answer your question if you tell me the distance from the ballpark to her home.

According to what you said, I would assume 1 hour which equals 60 min.

Answer 6

40x = 35y
x + y = 2
40(2-y)=35y
80-40y-35y=0
80=75y
y=80/75*60min/hr
Drive home takes 64 minutes

Answer 7

nope

Answer 8

sr i don't now the answer