Three cars are starting to drive from three corners of a huge axi-cimetrical triangle towards the middle. Car A can travel at a speed of 110 miles per hour, car B can travel 10% less and car C can travel the average speed of the first two cars. If all cars leave at the same time and it took car A 30 minutes to get to the middle, how long approximately after car C reached the middle, did car B reached it?
Answer(s): D
Start with the speeds of the cars:Car A can travel at 110 mp/h.Car B can travel at a speed of (110 x 0.9) 99 mp/h.Car C can travel at a speed of (110 + 99)/2 = 104.5 mp/h.If it took car A 30 minutes, the length towards the middle of the triangle is 55 miles. Calculate how long it takes car B and car C travel 55 miles:Car B It will take her (55/99) hours which is 33 minutes and a third.Car C It will take her (55/104.5) hours which is approximately 31.6 minutes. Therefore the differences in the time will be approximately 1.5 minutes.
Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 25 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the middle than Danny?
Answer(s): A
If it takes Danny 25 minutes to travel the full way, it would take him 12.5 minutes to reach the middle. If it takes Steve 50 minutes to travel the full way, it would take him 25 minutes to reach the middle.The difference in the time it takes them to reach the middle is 12.5 minutes.
A green lizard can travel from the green cave to the blue cave in 108 minutes; the blue lizard can travel from the blue cave to the green cave in 25% less time. If the green lizard started to travel 7.5 minutes before the blue lizard, how many minutes after the blue lizard, will the green lizard pass the middle line?
Answer(s): E
It takes the green lizard (108/2 = 54) minutes to reach the middle.It takes the blue lizard (108 x 0.75 = 81)/2 = 40.5 minutes to reach the middle.The green lizard started to travel 7.5 minutes ahead of the blue lizard and therefore the differences in the time they reach the middle is (54 – 7.5 – 40.5 = 6) minutes.
When an integer Q is divided by 6, the remainder is 4. Which of the following is not a multiple of 6?
Answer(s): C
Pick a number that fits into the question, for example 10.The only answer that is not a multiple of 6 is C, 2Q + 6 = 26. And 26 are not divisible by 6.
When the integer Y is divided by 11, the remainder is 3. Which of the following can't be a multiple of (Y+1)?
Plug in a number that will give a remainder of 3 when divided by 11, for example 14. We are looking for a number that is not a factor of (Y+1 = 15).The only answer that is not a factor of 15 is E. 3Y – 5 = 37.
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