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19 November, 17:19

You have access to an expressway to apply for a job in another city, 300 km away. an interview was scheduled for 11:15 am. you plan to drive at 100km / h and leave at 8:00 am for some time to spare. you drive at the planned speed for the first 100km, after a stretch of the road is under construction and requires you to reduce your speed to 40km / h for 40km. What is the slowest speed you must maintain for the rest of the trip to get time for an interview?

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  1. 19 November, 18:42
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    Vm = 128 km / h

    Explanation:

    The interview is at 11:15 am and he starts a trip at 8 am, the total time he has to arrive is -

    ΔT = 3 hours and fifteen minutes = 3.25 hours

    The total space he needs to cover is 300 km.

    The time he spends on the first 100 kilometers -

    V = ΔS / Δt

    100 = 100 / Δt1

    Δt1 = 1 hour

    The time spent in the next 40 km

    Vm = ΔS / Δt

    40 = 40 / Δt2

    Δt2 = 1 hour

    The space he has already covered in two hours -

    ΔS = 100 + 40 = 140 km

    Make total time he has already spent 2 hours, left over -

    Δt = 3.25 - 2

    Δt = 1.25 hours

    The space he needs to travel is missing -

    ΔS = 300 - 140

    ΔS = 160 km

    The average speed he must maintain to get a time -

    Vm = 160 / 1.25

    Vm = 128 km / h
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