Question

Ratio of the distance of the school from A’s home to the distance of the school from B’s home is 2 : 1.
(i) Who lives nearer to the school?
(ii) Complete the following table:

Answer 1

Ratio of the distance of the school from A’s home to the distance of the school from B’s hence = 2 : 1

(i) B lives nearest to the school

(ii) Let A’s home is 2x km from school and B’s home is x km
Distance of school from A’s home = 2 x Distance of school from B’s home
⇒ If A lives at a distance of 4 km, then B lives at a distance of = `1/2xx4` = 2 km
⇒ If B lives at a distance of 9 km then A lives at a distance of = 2 × 9 = 18 km
⇒ If A lives at a distance of 8 km then B lives at a distance =`1/2xx8` = 4 km
⇒ If B lives at a distance of 8 km, then A lives at a distance = 2 × 8 = 16 km
⇒ If A lives at a distance of 6 km, then B lives at a distance = `1/2xx6` = 3 km