A pharmacy and a bank, 2500 m apart, are situated between Jaslyn's house and Yen's house. The bank is halfway between the two houses and the pharmacy is closer to Yen's house. Jaslyn and Yen 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 Yen drove at a speed 16 km/h slower than Jaslyn. Leaving your answer in kilometres,

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

(a)
Let the distance between Jaslyn's house and Yen's house be 1 d.
Yen travelled = ¹₂ d - 2500 m
Jaslyn travelled = ¹₂ d + 2500 m

Distance that Jaslyn travelled more than Yen
= ¹₂ d + 2500 - (¹₂ d - 2500)
= ¹₂ d + 2500 - ¹₂ d + 2500
= 5000 m
= 5 km

(b)
Time that Jaslyn took to travel to the pharmacy
= 5 ÷ 16
= ⁵₁₆ h

Distance that Jaslyn travelled
= ⁵₁₆ x 68
= 21.25 km

1000 m = 1 km
2500 m = 2.5 km

Distance between Yen's house and the bank
= 21.25 - 2.5
= 18.75 km

Answer(s): (a) 5 km; (b) 18.75 km