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Math Help - Converting minutes and speed to km/hr.

  1. #1
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    Converting minutes and speed to km/hr.

    Been stuck on this problem and unsure how to complete.

    A horse galloped a mile in 2 min 35 s. What was its average speed in km/h?

    Any thoughts?
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  2. #2
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    Re: Converting minutes and speed to km/hr.

    Horse gallops 1 mile in 2 min and 35 sec
    We are to find speed in km/h
    Let us first convert 2 min and 35 sec in hours
    2 min and 35 sec = 2 min + 35/60 min = 2 min + 7/12 min = 31/12 min = 31/(12x 60) hours
    Now the horse covers in 2 min 35 sec distance = 1 mile
    i.e., the horse covers in 31/(12x 60) hours distance = 1 mile
    Or the horse covers in 1 hours distance = 1 x [ (12x60)/31] mile
    But 1 mile = 1.61 km
    Thus the horse gallops [ 12x60/31 ] 1.61 km in 1 hour
    That is the speed in km / h
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  3. #3
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    Re: Converting minutes and speed to km/hr.

    For starters, 1 mile = 1.609344 kilometres. So set up a ratio of miles : seconds, we have

    1 mile : 155 sec
    1.609344 km : 155 sec
    1.609344 / 155 km : 1 sec
    (1.609344 / 155) * 3600 km : 3600 sec
    37.37831 km : 1 hr

    So it's about 37 km/h.
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