A salon and a cafe, 1500 m apart, are situated between Zara's house and Tammy's house. The cafe is halfway between the two houses
and the salon is closer to Tammy's house. Zara and Tammy left their homes at the same time and arrived at the salon at the same time. Zara drove at a speed of 69 km/h while Tammy drove at a speed 20 km/h slower than Zara. Leaving your answer in kilometres,
- how much farther did Zara travel than Tammy?
- how far is Tammy's house from the cafe?
(a)
Let the distance between Zara's house and Tammy's house be 1 d.
Tammy travelled =
12 d - 1500 m
Zara travelled =
12 d + 1500 m
Distance that Zara travelled more than Tammy
=
12 d + 1500 - (
12 d - 1500)
=
12 d + 1500 -
12 d + 1500
= 3000 m
= 3 km
(b)
Time that Zara took to travel to the salon
= 3 ÷ 20
=
320 h
Distance that Zara travelled
=
320 x 69
= 10.35 km
1000 m = 1 km
1500 m = 1.5 km
Distance between Tammy's house and the cafe
= 10.35 - 1.5
= 8.85 km
Answer(s): (a) 3 km; (b) 8.85 km