You went snow skiing for 6 hours. You skied at an average rate of 30 miles per hour and the ski lift took you back up the hill at a rate of 10 miles per hour. If your overall average was 23 miles per hour, how many hours did you actually spend skiing?
2006-11-10 14:37:35 · 7 answers · asked by krystal 6 in Education & Reference ➔ Homework Help
i know that neither 8.3 or 6 are correct
2006-11-10 14:47:01 · update #1
it is not a trick question, i need to know how long you were actually skiing, not riding the lift.
2006-11-10 14:51:16 · update #2
X= hours spent skiing
Y= hours on ski lift
X+Y= 6 hours
(X*30mph) +(Y*10mph)= (6hours*23mph)
30X + 10Y=138 miles....................... (1)
Y= 6 - X substitute this for Y in equation 1
30X + 10(6-X) = 138 miles
30X + 60 - 10X= 138 miles
20X= 78 hours
X=3.9 hours
You spent 3.9 hours skiing or 3 hours and 54 min skiing
2006-11-10 14:52:46 · answer #1 · answered by takuwan_199 3 · 5⤊ 0⤋
6 hours
2006-11-10 14:44:17 · answer #2 · answered by shadow 1 · 0⤊ 0⤋
10/30=1/3
1/3 of your time is spent on the slopes so:
1/3X23=23/3=7.66 hours
2006-11-10 14:48:50 · answer #3 · answered by james b 1 · 0⤊ 0⤋
trick question...6 hours
2006-11-10 14:46:51 · answer #4 · answered by xo_cuddly_kitten_xo 4 · 0⤊ 0⤋
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2006-11-10 17:04:17 · answer #5 · answered by Tutor 1 · 0⤊ 0⤋
The person before me has it right. He used the exact same math as I did. He just beat me to it. *cry*
2006-11-10 15:46:55 · answer #6 · answered by incorrigible_misanthrope 3 · 0⤊ 0⤋
8.3 hours.
2006-11-10 14:42:53 · answer #7 · answered by debralizjr 4 · 0⤊ 0⤋