A pharmacy and a bank, 1500 m apart, are situated between Kylie's house and Abi's house. The bank is halfway between the two houses and the pharmacy is closer to Abi's house. Kylie and Abi left their homes at the same time and arrived at the pharmacy at the same time. Kylie drove at a speed of 60 km/h while Abi drove at a speed 20 km/h slower than Kylie. Leaving your answer in kilometres,

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

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

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

(b)
Time that Kylie took to travel to the pharmacy
= 3 ÷ 20
= ³₂₀ h

Distance that Kylie travelled
= ³₂₀ x 60
= 9 km

1000 m = 1 km
1500 m = 1.5 km

Distance between Abi's house and the bank
= 9 - 1.5
= 7.5 km

Answer(s): (a) 3 km; (b) 7.5 km