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Puzzle 341
What 5-letter word can be added to the end of these words to make new words:
Reasoning
If we take the number of miles in a lap to be L miles and use Time = Distance ÷ Speed.
The first 2⁄5 are covered at 123 mph. Therefore, the time taken was [(2⁄5) x L] ÷ 123 hours.
The next 2⁄5 are covered at 164 mph. Therefore, the time taken was [(2⁄5) x L] ÷ 164 hours.
The last 1⁄5 is covered at y mph. Therefore, the time taken was [(1⁄5) x L] ÷ y hours.
The entire trip is covered at an average of 150 mph, and we can conclude that:
2L 2L L L
————— + ————— + ——— = ———
5x123 5x164 5y 150
Rearranging and simplifying gives:
1 1 2 2
——— = —— - ——— - ———
y 30 123 164
That means that y = 1 ÷ (1⁄30 − 2⁄123 − 2⁄164)
Using a calculator gives y = 205.
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Puzzle 344
Using all of the letters A to Z, each once only, complete these common words. There are currently 2 different answers, can you find them both? ap--eb-a-ebo--d-an-c-ro-e--ell-ra-ybu-c--o-ra-umb-s-ua-lo--lg-es-
It is now four years since I first asked for support, and I would like to sincerely thank everyone who has helped me. BrainBashers doesn't show adverts, and I continue to depend on the ongoing support from everyone who enjoys the site.
