An explorer is planning an expedition. He investigates three possible routes.
If he travels on route A which is 900 km long,

Question

An explorer is planning an expedition. He investigates three possible routes.
If he travels on route A which is 900 km long, he expects to cover x km per day.
Route B, which is the same distance as route A, has more difficult ice conditions and
he would only expect to cover (x – 7) km per day.
Route C, which is 100 km longer than route A, has easier conditions and he would
expect to cover (x + 7) km per day.
Write down an expression, in terms of x, for the number of days that he expects to
take on
i. Route A
ii. Route B
iii. Route C

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Liliana 4 months 2021-08-01T09:27:50+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-01T09:29:47+00:00

    Answer:

    (I). Along route A,

    distance= 900km

    rate of covering the distance= x km/day

    Let the no. of days taken by him to cover the distance be n.

    a/q.

    x= 900

    then, n= 900/x

    (ii) along the route B,

    distance = 900km.

    rate of covering the distance= (x-7) km /day

    now ,let the no. of days required to cover the distance= N

    a/q

    (x-7)= 900

    N = 900/(x-7)

    (iii) along the route C,

    distance =( 900+100)km= 1000km

    rate of covering the distance= (x+7)km/day

    similarly, let the no.of days required to cover the distance= N

    then, (x+7) = 1000

    so, N = 1000/(x+7)

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