math questions?

Question

At a video club, 3/4 of the members like to watch sports. Of the remaining members, 1/5 are men. What fraction of the club members are women who do not like to watch sports?

a) 1/20 b) 3/20 c) 1/5 d) 1/4 e) 4/5


Karen took a bus trip to visit her cousin. Her roundtrip travel time was 2.5 hours. If she averages 45 miles per hour, how many miles from her cousin's house does Karen live?

a) 36 b) 42 c) 45 d) 60 e) 75

explain or show work plz

sry!!
in 2nd question, she averages 45 miles per hour traveling to her cousin's house and 30 miles per hour traveling back home, how many miles from her cousin's house does Karen live?

Answer 1

c and c

Answer 2

I will do part b first

2.5 hrs * 45 miles /hr = 112.5 miles
since it is a round trip divide by 2 to get 56.25 miles
answer d fits best

part a

answer c

1/4 don't watch sports (1-3/4)
if 1/5 of the remainder are men then 1-1/5 or 4/5 are women who don't watch sports and this group is 4/5 *1/4= 1/5 of the original group.

Answer 3

Part 1 - Answer is C) 1/5

3/4 members like sports
remaining = 1/4 members who do not like sports
1/5 of remaining are men who do not like sports
therefore 4/5 of remaining are women who do not like sports
=4/5 of 1/4 = 4/20 = 1/5

Part 2 - answer is ?

roundtrip distance = 2.5 hours x 45 mph = 112.5 miles
distance from cousin house = one half of round tript
= .5 x 112.5 = 56.25 miles

Answer 4

let x be the number of total people in that club

3/4 of x likes to watch sports. 3x/4

x - 3x//4 = x/4 remaining

1/5 of (x/4) are man
1/5 * x/4 = x/20 are man who do not like to watch sports

and 4/5 of x/4 are the number of woman who do not like to watch sports
4/5 * x/4 = x/5

(x/5) / x = (x/5) * x = 1/5

the answer is C

let t be the time it takes her to go to Keren's house then 2.5 - t is the time it takes her to return

distance = speed * time

d = 45t
d = 45(2.5 - t)

45t = 45(2.5 - t)
45t = 112.5 - 45t
90t = 112.5
t = 1.25

d = 45(1.25)
d = 56.25 miles

the right answer is not on the list


EDIT:
Pretty much the same concept. Let t be the time it takes her to go to Keren's house. The total time is 2.5 hrs, that means 2.5 - t is the time it takes her to return

distance to Keren's house
d = 45t

distance on traveling back
d = 30(2.5 - t)

45t = 30(2.5 - t)
45t = 75 - 30t
75t = 75
t = 1hr

to find the distance just plug 1 in for t
d = 45t
d = (45)(1)
d = 45 miles

the answer is C

Answer 5

1. c
3/4 = 75% 1/5 of the remaining 1/4 = (1/20) or 5% so we have 80% the remaining 20% = 1/5
2. b 2.5 * 45 = 112.5 total miles she drove, 112.5/2 = 56.25 are you supposed to be rounding?

Answer 6

Do your own homework.