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Math Help - Linear Worded Problem

  1. #1
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    Linear Worded Problem

    A car journey of 300 km lasts 4 h. Part of this journey is on a freeway at an average speed of 90 km/h. The rest is on country roads at an average speed of 70 km/h.

    Let T be the time (in hours) spent on the freeway.

    a) In terms of T, state the number of hours travelling on country roads.
    4-T

    b) State:
    i. The distance travelled on the freeway in terms of T
    Distance Travelled= 90T

    ii. The distance travelled on country roads in terms of T.
    Distance Travelled = 70(40-T)

    c Find:
    i. T
    I'm having trouble finding T, Can someone help?


    ii The distance travelled on each type of road.
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  2. #2
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    Quote Originally Posted by user_5 View Post
    A car journey of 300 km lasts 4 h. Part of this journey is on a freeway at an average speed of 90 km/h. The rest is on country roads at an average speed of 70 km/h.

    Let T be the time (in hours) spent on the freeway.

    a) In terms of T, state the number of hours travelling on country roads.
    4-T

    b) State:
    i. The distance travelled on the freeway in terms of T
    Distance Travelled= 90T

    ii. The distance travelled on country roads in terms of T.
    Distance Travelled = 70(\bold{\color{red}4}-T) <<<<<< typo

    c Find:
    i. T
    I'm having trouble finding T, Can someone help?


    ii The distance travelled on each type of road.
    All your considerations are OK.

    Put the 2 equations together:

    90T + 70(4-T) = 300

    Solve for T.
    Spoiler:
    I've got T = 1
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  3. #3
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    Thanks! and yeah, that was a typo! my bad.
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