Math Teasers:

Hi all,

Here are a few extra questions for you to try and answer for fun … Yes, not everything you do deserves a ‘prize.’ Sometimes the prize is just the satisfaction that you can do it.

 

1) A bicycle travels at a constant speed of 15 km/h. A bus starts 195 km behind the bicycle and catches up to the bicycle in 3 hours. What is the average speed of the bus in km/h?
(A) 65      (B) 80      (C) 70      (D) 60       (E) 50

 

2) Andy, Jen, Sally, Mike, and Tom are sitting in a row of five seats. Andy is not beside Jen. Sally is beside Mike. Who cannot be sitting in the middle seat?
(A) Andy (B) Jen (C) Sally (D) Mike (E) Tom

 

3) Tanner wants to fill his swimming pool using two hoses, each of which sprays water at a constant rate. Hose A fills the pool in a hours when used by itself, where a is a positive integer. Hose B fills the pool in b hours when used by itself, where b is a positive integer. When used together, Hose A and Hose B fill the pool in 6 hours. How many different possible values are there for a?
(A) 5 (B) 6 (C) 9 (D) 10 (E) 12

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7 Responses to Math Teasers:

  1. Kamsi-______- says:

    These are my answers if I’m wrong someone tell me (LOL)-

    1) In 3 hours the bicycle will travel 15 × 3 = 45 km.
    The bicycle was 195 km ahead of the bus.
    Therefore, in order to catch up to the bicycle, the bus must travel 195 km plus the 45 km the bicycle travels=
    195 + 45 = 240 km.
    In 3 hours, the bus must travel at an average speed of 240 ÷ 3 = 80 km/h.

    2) Sally and Mike can be seating in the middle seat. (I’m not sure how to explain this type of question but hopefully the answers are right.

    3) I think D), E) and B)

  2. Jefferson sing a Song says:

    1) B

    2) E

    3) A????????

  3. Angela says:

    Question one: A) 65 km/h on average

    Question two: I’m not certain, but Jen or Sally?

    Question three: I don’t know again.

    I’m sorry I couldn’t really answer the last two questions

  4. AdenVu says:

    1) 80 because it takes 3 hours and the average speed is 80 because of 80 x 3 = 240.

    2) Jen

    3) C 9

  5. luca :) says:

    C 70 km B Jen B 6 hours

  6. Rohan:) says:

    1) A because 3 x 65 is 195
    2) I think it’s either Andy or Jen
    3) A because 5,4,3,2,1 and it could be any of those

  7. Bernice says:

    1)A
    2)Jen???
    3) I honestly don’t know

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