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Here is the question!
Let T be the capacity of the tank. Let L be the large pipe and S be the small pipe.
T/6L = 12
L = T/72
T/(3L + 9S) = 8
Putting L = T/72,
S = T/108
Hence T/5S = 108/5 gives S = 21.6 hours.
To conclude, small pipes require 21.6 hours i.e. 21 hours and 36 minutes to drain the reservoir.
Someone drove from Aardvark to Beeville.
On the first, day they traveled 1/3 of the distance.
On day two, they traveled 1/2 of the remaining distance.
On day three, they traveled 2/3 of the remaining distance.
On day four, after covering 3/4 of the remaining distance, they were still 5 miles away from Beeville.
How many miles had they covered so far?
Know the total distance traveled!
Click for the question!
We need to start in reverse.
In last part after covering 3/4 still 5 miles left which accounts for 1/4 of remaining distance. Hence, 20 miles were left at the start of DAY 4.
On DAY 3, 2/3rd covered leaving 20 miles for DAY 4. That means 20 miles distance is remaining 1/3rd. Hence, at the start of DAY 3, 60 miles were left.
On DAY 2, 1/2 of covered leaving 60 miles for DAY 2. So that means 60 miles distance is remaining 1/2. So at the start of DAY 2, 120 miles yet to be covered.
On DAY 1, 1/3 of covered leaving 120 miles for DAY 2. Meaning 120 miles distance is remaining 2/3. Hence, 180 miles yet to be covered at the start of DAY 1.
Out of 180 miles, 175 covered in 4 days still 5 miles left.
Six people park their car in an underground parking of a store.
The store has six floors in all. Each one of them goes to different floor.
Simon stays in the lift for the longest.
Sia gets out before Peter but after Tracy.
The first one to get out is Harold.
Debra leaves after Tracy who gets out at the third floor.
Can you find out who leaves the lift at which floor?
Was it really so difficult?
What was the given data?
The sentence 'The first one to get out is Harold.' suggests that the Harold leaves the lift at the 1st floor.
Similarly, the sentence - 'Simon stays in the lift for the longest.' suggests that Simon leaves he lift at the 6th floor.
Next, sentence - 'Debra leaves after Tracy who gets out at the third floor' suggests Debra leaves the lift at the 3rd floor.
Clearly, the sentence - 'Sia gets out before Peter but after Tracy.' suggests that Sia leaves the lift at the 4th floor.
Also, it is clear that Debra leaves the lift at the 2nd floor and Peter at the 5th floor.
Summary -
Harold leaves at the first floor.
Debra leaves at the second floor.
Tracy leaves at the third floor.
Sia leaves at the fourth floor.
Peter leaves at the fifth floor.
Simon leaves at the sixth floor.
Bob buys two things in a shop. With his pocket calculator he calculates in advance what he has to pay: 5.25 dollars. But what he does not notice is that he pressed the division instead of the addition button. At the desk he is not surprised if he hears that he has to pay 5.25 dollars.
What is the price of the two things Bob has bought?
Know the cost of those 2 things.
What was the mistake?
Let's assume that those things costs a and b respectively.
As per Bob's wrong calculation,
a / b = 5.25
a = 5.25 b ..........(1)
And according to what should have been correct,
a + b = 5.25
Putting (1) in above,
5.25b + b = 5.25
6.25b = 5.25
b = 0.84
Again putting this value in (1) gives,
a + 0.84 = 5.25
a = 5.25 - 0.84
a = 4.41
Hence the cost of 2 things are $4.41 and $0.84.