Coming down the long hill, Nelson averaged 24 miles per hour. If it took him 5 minutes to come down the hill, how long was the hill??
I have to solve this by porportions =/ and I need help! thanx and sorry! =]
2007-04-28 02:24:15 · 12 answers · asked by JaneyWaney! 1 in Science & Mathematics ➔ Mathematics
proportional problem
24/60 = x/5
60x = 24(5)
60x = 120
60x/60 = 120/60
x = 120/60
x = 2
The hill is 2 miles long
- - - - - - - - - - - -s-
2007-04-28 02:54:51 · answer #1 · answered by SAMUEL D 7 · 1⤊ 0⤋
5 minutes = 5/60 =1/12 of an hour
so 24*1/12 = 2
the hill was 2 miles long
2007-04-28 09:33:39 · answer #2 · answered by maussy 7 · 0⤊ 0⤋
Nelson traveled for 5 min or (5/60) or (1/12) of and hour. He was moving at 24 miles/hour
Our proportion is
( 1 hour / 24 miles) = ((1/12) hour / x miles)
x = (1/12 hour * 24 miles)
x = 2 miles in 5 minutes
The hill is two miles long!
.
2007-04-28 10:00:46 · answer #3 · answered by Robert L 7 · 0⤊ 0⤋
If he is going 24 miles/hour than he is going 0.4 miles/minute (24 miles per hour divided by 60 minutes per hour). Therefore in 5 minutes he will have traveled 2 miles (0.4 miles per minute times 5 minutes). The hill is 2 miles long. That's a big hill.
2007-04-28 09:35:12 · answer #4 · answered by 12 2 · 0⤊ 0⤋
2 miles
24MPH / 60 (Seconds) = .4 Miles Per Minute
.4 x 5 (minutes) = 2 Miles
2007-04-28 09:31:55 · answer #5 · answered by Nick 3 · 0⤊ 0⤋
24 miles/ hour = 24 miles/60 minutes
24 mi/60 min = x /5 min , where x is the distance(length) of the hill
24mi x 5 min = 60 min x
120 mi x min = 60 min x
120 mi x min/60 min = x
2 mi = x
x = 2 miles ===> the length of the hill
For simplicity:
24/60 = x/5
24 x 5 = 60x
120 = 60x
120/60 = 60x/60
2 = x
x = 2 miles
2007-04-28 09:39:22 · answer #6 · answered by detektibgapo 5 · 0⤊ 0⤋
hello friend ,
hourly speed is 24 miles then speed in minute is 24/60=0.4
(60 means 60 minutes in a hour) then
the distance he can cover within 5 minute is 0.4X5=2 miles
hills height is 2 miles
ok
2007-04-28 10:23:29 · answer #7 · answered by moon 1 · 0⤊ 0⤋
(24/60)*5= 2 miles
2007-04-28 09:33:35 · answer #8 · answered by zak p 1 · 0⤊ 0⤋
24 miles/1 hr = ? miles/ 5 mins [as a proportion]
change mins to hours...
24 miles/1 hr = ? miles/(1/12) hr
there is the proportion you are looking for!
now cross multiply and divide...
24(1/12) /1 = 2 miles
=)
2007-04-28 09:42:30 · answer #9 · answered by mikedotcom 5 · 0⤊ 0⤋
2 miles
2007-04-28 09:52:59 · answer #10 · answered by Mizz SJG 7 · 0⤊ 0⤋
proportions require one constant quantity to relate two other quantities...
in this case, keeping speedconstant we get that the time and distance can be related as:
5/60=x/24 where 'x' is the distance travelled in 5minutes.
solving this we get that Nelson goes 2 miles in 5minutes which i sth eheight of th hill...
2007-04-28 09:39:32 · answer #11 · answered by s_d_sondhi 2 · 0⤊ 0⤋