What is represented by this BrainBat?
cat cat cat cat cat cat cat cat cat cat cat cat
Using the BrainTracker grid below, how many words can you find? Each word must contain the central
F and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?
Excellent: 28 words. Good: 22 words. Average: 19 words.
[Ref: ZGBH] © Kevin Stone
Hint: Every word must contain the central letter.
aft, BEAUTIFUL, elf, fable, fail, fat, fate, fault, feat, felt, fib, fibula, file, filet, fit, flab, flat, flea, flu, flue, flute, fuel, futile, if, leaf, left, life, lift.
aft, alef, alif, BEAUTIFUL, befit, ef, eft, elf, fa, fable, fail, fat, fate, fault, fauteuil, feal, feat, felt, fet, feta, fetal, fetial, feu, fiat, fib, fibula, fibulae, fie, fil, fila, file, filet, fit, flab, flat, flea, flit, flite, flu, flub, flue, flute, fub, fuel, futile, if, leaf, left, lief, life, lift, tubful, tufa.
Using a tap, a three gallon container and a five gallon container, can you measure exactly 4 gallons, you may empty the containers down the drain?
Here are the contents of the containers after each stage:
0 5 fill B
3 2 fill A from B
0 2 empty A
2 0 fill A from B
2 5 fill B
3 4 fill A from B
0 4 empty A
The now leaves 4 gallons in container B.
A large fresh water reservoir has two types of drainage system: small pipes and large pipes.
6 large pipes, on their own, can drain the reservoir in 12 hours.
3 large pipes and 9 small pipes, at the same time, can drain the reservoir in 8 hours.
How long will 5 small pipes, on their own, take to drain the reservoir?
[Ref: ZHRT] © Kevin Stone
Hint: The exact size of the pipes and reservoir does not matter.
Answer: 21 hours and 36 minutes.
The exact size of the pipes and reservoir does not matter. If we label the large pipes L, the small pipes S and if the reservoir has a total of T litres, then:
T ÷ 6L = 12 which means L = T ÷ 72
T ÷ (3L + 9S) = 8 which means that S = T ÷ 108
T ÷ 5S which gives 108 ÷ 5 hours = 21.6 hours = 21 hours and 36 minutes.