A car running between two points P and Q on a straight path. If it travels half of distance between
P and Q with velocity 40

A car running between two points P and Q on a straight path. If it travels half of distance between
P and Q with velocity 40 km/h and other half with 60 km/h and return in the same manner. The
average speed of the car is. explain strep by step

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1 thought on “A car running between two points P and Q on a straight path. If it travels half of distance between<br /> P and Q with velocity 40”

  1. Step-by-step explanation:

    Avg Speed = Total distance/Total time

    Let the distance between P to Q is 2S

    It travels half of distance with 40km/h

    = S distance with 40km/hr

    Time Taken = distance/speed

    = S/40 hr

    and other half of distance with 60km/h

    = S distance with 60/hr

    Time Taken = S/60 hr

    Return with same manner

    = S distance with 40km/hr (=Time taken = S/40 hr)

    and other half of distance with 60km/h

    = S distance with 60/hr (=Time Taken = S/60 hr)

    Hence, total distance of the whole journey

    = 2S + 2S

    = 4S

    & Total time taken

    = S/40 + S/60 + S/40 + S/60

    = (3S+2S+3S+2S)/120 hr

    = 10S/120 hr

    = 1S/12 hr

    Average Speed = 4S/(1S/12) km/hr

    = (4S×12)/1S km/hr

    = 48S/1S km/hr

    = 48 km/hr

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