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29 August, 09:55

3. James drives for 5 hours at a certain speed and then for 4 hours at a speed 6 km/h greater than his original speed. If he drives 294 km altogether, what was his first speed?

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  1. 29 August, 10:08
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    Answer:30km/hr

    Step-by-step explanation:

    Total distance=294km

    Speed=s

    Distance=d

    Time=t

    First drive:

    t=5

    d=s x t

    d=s x 5

    d=5s

    Second drive:

    t=4

    Speed is 6km/h greater than the first speed

    The new speed = s+6

    d=4 (s+6)

    Total distance=294

    5s + 4 (s + 6) = 294

    5s + 4s + 24=294

    Collect like terms

    5s + 4s=294 - 24

    9s=270

    Divide both sides by 9

    9s/9=270/9

    s=30

    First speed=30km/hr
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