Home Page Brainteasers Guess The Photo For Geeks & Brainiacs Lateral Thinking Number Puzzles Perceptual Puzzles Riddles Spot The Difference Target Number Word Puzzles Monthly Puzzle Contest Monthly Contest Winners Monthly Newsletter Link To Us References Send Us Your Puzzle Printable Puzzles Goldles - Daily Games Puzzleship

Follow us:

Share this page on:

Need a Hint?

HINT: Use x to represent the number of hours from sunrise to noon, j to represent Janet's speed, m to represent Marge's speed, and AC and BC to represent the distance between A and C, and B and C respectively.

See Answer

ANSWER: 6:00 a.m.

EXPLANATION: Let's use x to represent the number of hours from sunrise to noon, j to represent Janet's speed, m to represent Marge's speed, and AC and BC to represent the distance between A and C, and B and C respectively.

Use the formula Speed = Distance / Time to obtain the speed of Janet and Marge using what is known about the journey between A and C and then do the same for the journey between B and C.

Journey between A and C:

j = AC/x
m = AC/9 → AC = 9m
So: j = 9m/x (expression 1)

Journey between B and C:

j = BC/4
m = BC/x → BC = (x × m)
So: j = (x × m)/4 (expression 2)

Since the first and second expression equal j, we can set them equal to each other.

9m/x = (x × m)/4
9/x = x/4
x² = 9 × 4
x = 6 hours before noon, so 6:00 a.m.

Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?

<- Previous puzzle | Next puzzle ->

Click here to return to the list of puzzles

Contact Us| Bookmark Site| Terms Of Use| Privacy Policy