MathematicsA bus covers 128 km in 2 hours and a train covers 240 km in 3 hours. ____ is the ratio of their speeds.Chapter/Topic:  Direct and Inverse Proportions

A bus covers 128 km in 2 hours and a train covers 240 km in 3 hours. ____ is the ratio of their speeds.


Chapter/Topic:  Direct and Inverse Proportions


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    Solution:

    The relation between the distance travelled by the object with the defined speed in the given time is given as Distance = Speed×Time .
    According to the question, the bus covers a distance of 128 km in 2 hours.
    Let the speed of the bus be vb .
    Substituting the values in the formula Distance=Speed×Time to determine the speed of the bus
    1282= 64 km/h…………….(i)
    Again, it has been given that the train covers a distance of 240 km in 3 hours.
    Let the speed of the bus be vt .
    Substituting the values in the formula Distance=Speed×Time to determine the speed of the train.
    2403= 80km/h………….(ii)
    As per the demand of the question, we need to find the ratio of the speed of the bus and the train. So, by equations (i) and (ii),
    Ratio= 6480  = 45
    45​ is the ratio of their speeds.
     
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