A pastry shop and a flower shop, 500 m apart, are situated between Tammy's house and Cindy's house. The flower shop is halfway between the two houses
and the pastry shop is closer to Cindy's house. Tammy and Cindy left their homes at the same time and arrived at the pastry shop at the same time. Tammy drove at a speed of 72 km/h while Cindy drove at a speed 20 km/h slower than Tammy. Leaving your answer in kilometres,
- how much farther did Tammy travel than Cindy?
- how far is Cindy's house from the flower shop?
(a)
Let the distance between Tammy's house and Cindy's house be 1 d.
Cindy travelled =
12 d - 500 m
Tammy travelled =
12 d + 500 m
Distance that Tammy travelled more than Cindy
=
12 d + 500 - (
12 d - 500)
=
12 d + 500 -
12 d + 500
= 1000 m
= 1 km
(b)
Time that Tammy took to travel to the pastry shop
= 1 ÷ 20
=
120 h
Distance that Tammy travelled
=
120 x 72
= 3.6 km
1000 m = 1 km
500 m = 0.5 km
Distance between Cindy's house and the flower shop
= 3.6 - 0.5
= 3.1 km
Answer(s): (a) 1 km; (b) 3.1 km