Brain Teasers...
1) Last week I decided to cycle to my uncle's house. On the first day, I cycled half of the distance. On day 2, I cycled one half of the remaining distance. On day 3, I cycled three quarters of the remaining distance. On day 4, I cycled 10 miles. On day 5 I cycled two thirds of the remaining distance and on the final day I cycled the remaining 5 miles. How far is it to my uncle's house?
2) Find a common 12 letter english word containing three P's, two R's, two A's, one O, one E, one D, one T, and one other vowel.
total distance = q
ReplyDeleteq = 1/2q + 1/4q + 3/16q + 10 + 15
q = 8/16q + 4/16q =3/16q + 15
q = 15/16q + 15
1/16q = 15
q = 240
Appropriated
ReplyDeleteBugger, missed out a day in the distance question and now don't have time to redo.
ReplyDeleteOh well!
Well done, Mark. You've got the word right but, as you say, you've not got the distance quite right.
ReplyDeletetotal distance = x
ReplyDeletex = 1/2x + 1/4x + 3/16x + 10 + 2/3(1/16x - 10) + 5
x = 8/16x + 4/16x + 3/16x + 10 + 1/24x - 20/3 + 5
x = 15/16x + 10 + 1/24x -20/3 + 5
x = 45/48x + 2/48x + 10+ 5 -20/3
x = 47/48x + 15 - 20/3
x = 47/48x - 320/48 +720/48
48x = 47x -320 + 720
48x - 47x = 720 - 320
x = 400
A perfect lunchtime challenge, thank you Jonathan!