Problem 11 · 2017 Math Kangaroo
Medium
Fractions, Decimals & Percents
fraction-to-decimal
Ant Annie starts at the left end of the stick and crawls 23 of the length of the stick. Ladybird Bob starts at the right end of the stick and crawls 34 of the length of the stick. Which fraction of the length of the stick are they then apart from each other?
Show answer
Answer: D — 512
Show hints
Hint 1 of 2
Put both bugs' positions on the same scale, measured from the left end.
Still stuck? Show hint 2 →
Hint 2 of 2
Subtract the two positions to get the gap.
Show solution
Approach: locate both on [0,1] and subtract
- Annie is at 2/3 from the left. Bob, 3/4 from the right, is at 1 − 3/4 = 1/4 from the left.
- They have passed each other; the gap is 2/3 − 1/4 = 8/12 − 3/12 = 5/12.
Mark:
· log in to save