It costs $4 for the first ¼ hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 3 hours and 25 minutes, how much will it cost him?
Answer(s): E
The customer uses the machine for 3 hours and 25 minutes. The first 15 minutes cost him $4 and he has 3 hours and 10 minutes left, which is (12 x 3 = $36) + 10 minutes.10 minutes are 1/6 of an hour, which is (1/6 x 12 = $2). The total cost will be: 4 + 36 + 2 = $42.
The mall charges 50 cents for the first hour of parking and $3 for each additional hour until the customer reaches 4 hours, after that the parking fee is $1 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay?
Answer(s): C
The customer parked for 7 hours and 30 minutes. Divide the problem into parts: The first hour cost him 0.5 dollars. He has 6.5 hours left.The next three hours cost him 3 dollars per hour, $9 in total for that time.He has (7.5 – 4 = 3.5 hours left) at a wage of $1 per hour, it sums up to 3.5 additional dollars. Sum it all up: 0.5 + 9 + 3.5 = $13.
If ( 0 < X < Y ), X is an odd number and Y is a prime number, which of the following can be the value of X + Y ?
Answer(s): D
Every prime number except 2 is an odd number. If Y = 2, than X must have been 1 because X is smaller than Y but this answer doesn’t appear among the answers and therefore Y is odd.If X and Y are both odd numbers, their sum must be an even number. The only even answer is D.
It takes Avery 3 hours to build a brick wall while Tom can do it in 2.5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
The output of Avery is 1/3 walls in one hour and the output of Tom is 2/5 walls in one hour.The two worked together for one hour, their combined output is (1/3 + 2/5 = 11/15) wall and that’s the fraction of the wall that they completed together.Tom has (1 – 11/15 = 4/15) wall left, with his current output it will take him ((4/15) / (2/5) = 2/3) hours, which is 40 minutes.
There are three foam generators in the factory, the first two can generate 14 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
In the first hour and a half all the generators worked and produced (14 + 14 + 18) x (1.5) = (69) liters. In the next two hours two generators worked and produced (14 + 18) x (2) = (64) liters.The rest of the time (5 – 1.5 – 2 = 1.5 hours) only one generator worked and produced (14 x 1.5 = 21 liters of foam).The total amount of foam that was created is (69 + 32 + 21 = 154 liters).
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