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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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Mathematics
4 months
2021-08-01T09:27:50+00:00
2021-08-01T09:27:50+00:00 1 Answers
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## Answers ( )

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.

n×x=900then,n=900/x(ii)distance = 900km.

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

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

Na/qN×(x-7)=900N=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=

Nthen,

N×(x+7)=1000so,N=1000/(x+7)