Each month, a new set of puzzles will be posted. Come back next month for the solutions and a new set of puzzles, or subscribe to have them sent directly to you.
Challenge 1
A ship is battling against the tide to safety. It uses 7 gallons of fuel every hour and sails at 17 mph in still conditions. It is 77 miles from safety and the flow against it is 6 mph. The ship has 49 gallons of fuel left. Will it reach safety?
Challenge 2
When 4 is added to two numbers, the ratio is 5:6. When 4 is subtracted from the two numbers, the ratio is 1:2. Find the two numbers.
Challenge 3
An unknown airplane flying with a speed of 700 mi/hr is detected 1000 miles away by a radar. Half an hour later an interceptor plane flying with a speed of 800 mi/hr is dispatched. How long will it take the interceptor plane to meet with the unknown plane?
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Last month's solutions
Puzzle 1In our Community Centre, there is a huge swimming pool with four pipes that can be used to fill the pool.
If all four pipes are used simultaneously, how long will it take to fill up the pool completely? Solution: In 1 hour, the ratio of the swimming pool being filled by the four pipes: 1st pipe: 1/48 Therefore, 1/48 + 1/72 + 1/96 + 1/6 = 0.0208 + 0.0139 + 0.0104 + 0.1667 = 0.2118 |
Puzzle 2A farmer wants to plant 19 trees in 9 rows with 5 trees in a row. Show how the farmer can do this? Solution:
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Puzzle 3Kim threw some darts at this dartboard. Every dart landed on a number on the board and she scored exactly 100. If numbers can be used more than once, how many darts did she throw to score 100 and which numbers did she land on?
Solution: 6 darts (17, 17, 17, 17, 16 and 16)
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