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
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= 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
N× (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, N× (x+7) = 1000
so, N = 1000/(x+7)