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23 August, 09:43

A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 km/h. Due to traffic in Sundays, the return journey average speed is 50 km/h. How far can he select a picnic spot?

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  1. 23 August, 11:50
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    Since he must not exceed 8 hours driving in a day:

    Let the distance of the picnic be = x km.

    Therefore time for forward journey = x / 60

    Return journey = x / 50

    The total trip should not exceed 8 hours.

    Therefore: x / 60 + x / 50 < = 8. LCM = 300

    Taking LCM and multiplying on both sides:

    5x + 6x < = 8 (300)

    11x < = 2400

    x < = 2400/11

    x < = 218.18

    The picnic spot must be less than or equal to 218.18 km.
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