A pharmacy and a bank, 1500 m apart, are situated between Jaslyn's house and Fiona's house. The bank is halfway between the two houses and the pharmacy is closer to Fiona's house. Jaslyn and Fiona left their homes at the same time and arrived at the pharmacy at the same time. Jaslyn drove at a speed of 68 km/h while Fiona drove at a speed 10 km/h slower than Jaslyn. Leaving your answer in kilometres,

1. how much farther did Jaslyn travel than Fiona?
2. how far is Fiona's house from the bank?

(a)
Let the distance between Jaslyn's house and Fiona's house be 1 d.
Fiona travelled = ¹₂ d - 1500 m
Jaslyn travelled = ¹₂ d + 1500 m

Distance that Jaslyn travelled more than Fiona
= ¹₂ d + 1500 - (¹₂ d - 1500)
= ¹₂ d + 1500 - ¹₂ d + 1500
= 3000 m
= 3 km

(b)
Time that Jaslyn took to travel to the pharmacy
= 3 ÷ 10
= ³₁₀ h

Distance that Jaslyn travelled
= ³₁₀ x 68
= 20.4 km

1000 m = 1 km
1500 m = 1.5 km

Distance between Fiona's house and the bank
= 20.4 - 1.5
= 18.9 km

Answer(s): (a) 3 km; (b) 18.9 km