A church and a flower shop, 1500 m apart, are situated between Jaslyn's house and Yen's house. The flower shop is halfway between the two houses and the church is closer to Yen's house. Jaslyn and Yen left their homes at the same time and arrived at the church at the same time. Jaslyn drove at a speed of 71 km/h while Yen drove at a speed 10 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 flower shop?

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

Distance that Jaslyn travelled more than Yen
= 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 church
= 3 ÷ 10
= ³₁₀ h

Distance that Jaslyn travelled
= ³₁₀ x 71
= 21.3 km

1000 m = 1 km
1500 m = 1.5 km

Distance between Yen's house and the flower shop
= 21.3 - 1.5
= 19.8 km

Answer(s): (a) 3 km; (b) 19.8 km