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17 November, 21:34

A man usually rides his bike 9 kilometers per hour, yet the wind slows him to 6.76 kilometers for 26 minutes and 5.55 kilometers for 10, how long until he gets home 11.54 miles away?

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  1. 17 November, 21:41
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    It will take almost 2 hours 8 mins.

    Step-by-step explanation:

    The man rides his bicycle for 9 km for 1 hour.

    He has to travel 11.54 miles.

    1 mile = 1.609 km

    11.54 miles = 11.54 * 1.609 km = 18.568 = 18.57 km

    It will take him 18.57 km / 9 km = 2.06 hrs = 127 mins

    He moves 26 minutes at 6.76 km per hour meaning he moves 6.76/60 * 26=

    2.93 km.

    He moves 10 minutes at 5.55 km per hour meaning he moves 5.55/60 * 10=

    0.925 km.

    Out of 18.57 km he has moved 2.93+0.925 = 3.855 km in 36 mins

    18.57 km - 3.9 km = 14. 67 km is yet to travel

    Now applying cross product rule

    9 km 60 mins

    14.67 km? x

    x = 60 * 14.67/9 = 97.8 mins

    Total time taken will be 26 + 10 + 97.8 mins = 127.8 mins = 2 hours 7 mins
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