Saturday, December 8, 2012

Maths : Time, Speed & Distance

Maths :: Time, Speed & Distance


Points to remember:

1. To find Distance  =  Speed  x  Time

2. To find Speed     =   Distance divided by Time

3. To find Time       =   Distance divided by Speed

4.  1 km / per hr      =   5/18 m / per second
    [ i.e., to convert given speed @ km per hour 
             into speed @ metre per second,
             multiply it by 5/18 ]

5.  1 m / per sec      =  18/5 km / per hour
      [ i.e., to convert given speed @ metre per second
               into speed @ km per hour,
               multiply it by 18/5 ]

6. If 'a' is onward journey speed, and 'b' is return journey speed, 
    then the average speed in a travel between two stations, then
    the average speed for the whole journey would be
        2 multiplied by 'a and by 'b'
        divided by 'a' + 'b'
           i.e.,    2ab divided by (a + b)

7. If a boy walks from his house to school at the rate of 5 kmph, and 
    reaches the school 10 minutes earlier than the scheduled time, and 
    if he walks at the rate of 3 kmph , he reaches 10 minutes late, 
    then the distance of the school from his house  would be:
    Distance covered = Product of Two Speeds x Diff. in Time
                                    divided by Diff of Two Speeds x 60
  and so, the answer = 5 x 3 x (10 + 10)
                                  divided by  2 x 60 = 2.5 km

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