Speed and Distance

TIME AND DISTANCE -> IMPORTANT FACTS AND FORMULA E

1. Speed = Distance
                   Time,    
    Time=Distance
               Speed   
    Distance = Speed*Time

2. x km/hr = [x*5/18] m/sec.

    Note:Mind calculation to convert kmph into mps?
     I explain it with help of example,
     Ex.1:
     convert 108kmph into mps?
     sol:
     simple technic is, 
     1.Multiply 90 with 10
     2. consider 900-->36 sec
     3.then it becomes 30-->1sec
     4. final answer is 
        90kmph=30m/s


    Ex.2:
     convert 108kmph into mps?
    sol:
    1.Multiply 108 with 10
    2. consider 1080-->36 sec
    3.then it becomes 30-->1sec
    4. final answer is 
       108 * kmph=30m/s

3. If the ratio of the speeds of A and B is a:b, then the ratio of the times taken by them to cover the same distance is 1/a : 1/b or b:a.

4. x m/sec = [x*18/5] km/hr.

    Mind calculation to convert m/s into kmph?
    I explain it with help of example, 
    Ex.1:
    convert 30m/s into kmph?

    1.30 m —— 1 sec 

    2.  ? m —— 36 sec 

      1080m —->36 sec 

    3.So 1080/10 —-> 108 kmph


5. Suppose a man covers a certain distance at x km/hr and an equal distance at     y km/hr. then,     the average speed during the whole journey is                       [2xy/x+y] km/hr.
    
Example 1:
   Ram can cover a certain distance in 1 hr 30 min. By covering two third of          the distance at 4 kmph and the rest at 5 kmph. Find the total distance              covered ?
sol: Let the total distance be x km then:

Ex 2. Walking at 4 / 5 of its normal speed, a school bus is 10 minutes late. Find its usual time to cover the journey.
    Solution : New Speed = 4 / 5 of original speed, 
                 since the speed and time has inverse relation so, 
                 New Time taken by bus = 5 / 4 of the normal time 
                 ( 5 / 4 of usual time ) - ( usual time ) = 10 min.  
                 1 / 4 of the normal time = 10 min
                  normal time = 40 min




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