SOLUTION: From towns 363 miles apart, Pat and Mike set out to meet each other. If Pat travels 1 mile the first day, 3 miles the second, 5 miles the third, etc. and Mike travels 2 miles the f
Algebra.Com
Question 80947: From towns 363 miles apart, Pat and Mike set out to meet each other. If Pat travels 1 mile the first day, 3 miles the second, 5 miles the third, etc. and Mike travels 2 miles the first day, 6 miles the second and 10 miles the third, etc., when will they meet? - I got the answer from my teacher, I know it's 11 days, but I have no idea how to work it. PLEASE HELP!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
each day, Pat travels 2 miles more than the previous day ... on the first day he traveled 1 mile
so the distance traveled on day x is 1+2(x-1) ... for Mike, 2+4(x-1)
let d=days traveled ... distance equals (average per day)*(days) ... ((first day+last day)/2)*(days)
so Pat's distance is (1+(1+2(d-1))/2)*d ... similarly, Mike's distance is (2+(2+4(d-1))/2)*d
the combined distance is 363 ... so (1+(1+2(d-1))/2)*d+(2+(2+4(d-1))/2)*d=363 ... (d)*d+(2d)*d=363
... ... d=11
RELATED QUESTIONS
Two people start driving toward each other, starting from two towns 100 miles apart. If... (answered by checkley77)
what are the rates of the two groups
Two towns are 1050 miles apart. A group of... (answered by richwmiller,josgarithmetic)
Two towns are 1250 miles apart. A group of hikers start from each town and walk the trail (answered by josmiceli)
two towns are 1300 miles apart. A group of hikers start from each town and walk the trail (answered by checkley79)
Two towns are 1300 miles apart. A group of hikers start from each town and walk the trail (answered by josmiceli)
Two towns are 1050 miles apart. A group of hikers start from each town and
walk the... (answered by ikleyn,Edwin McCravy)
two automobiles start at the same time from towns 440 miles apart and travel towards each (answered by drj)
Tow buses leave towns 345 miles apart at the same time and travel toward each other. One... (answered by lwsshak3)
Two cyclists leave towns 78 miles apart at the same time and travel toward each other.... (answered by josgarithmetic,ikleyn)