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A bus travels the first one third distance at a speed of ,10ms the next one third distance at 20ms and remaining one-third at 40 ms. The average speed of the bus for the whole journey is: |
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Answer» Explanation:Bus travels first one third distance at a speed of 10 m/sThe next one third it travels at a speed of 20 m/sThe last one third at a speed of 40 m/sAverage speed for the whole journey➛ First we have to find the total distance covered by the bus➛ Let the bus travel x m in each of the three cases➛ Total distance travelled = x + x + x Total distance travelled = 3X m➛ Now we have to find the time taken in each of the three cases.➛ We know that, Time = Distance/Speed➛ In the first case, Time = x/10 s➛ In the second case, Time = x/20 s➛ In the third case, Time = x/40 s➛ HENCE, Total time taken = x/10 + x/20 + x/40 Total time taken = 4x/40 + 2x/40 + x/40 Total time taken = 7x/40 s➛ Now average speed of the bus is GIVEN by, Average speed = Total distance travelled/Total time taken Average speed = 3x ÷ 7x/40 Average speed = 3 × 40/7 Average speed = 17.14 m/s➛ Hence average speed of the bus is 17.14 m/s. |
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