A park and a museum, 500 m apart, are situated between Gillian's house and Emily's house. The museum is halfway between the two houses
and the park is closer to Emily's house. Gillian and Emily left their homes at the same time and arrived at the park at the same time. Gillian drove at a speed of 66 km/h while Emily drove at a speed 20 km/h slower than Gillian. Leaving your answer in kilometres,
- how much farther did Gillian travel than Emily?
- how far is Emily's house from the museum?
(a)
Let the distance between Gillian's house and Emily's house be 1 d.
Emily travelled =
12 d - 500 m
Gillian travelled =
12 d + 500 m
Distance that Gillian travelled more than Emily
=
12 d + 500 - (
12 d - 500)
=
12 d + 500 -
12 d + 500
= 1000 m
= 1 km
(b)
Time that Gillian took to travel to the park
= 1 ÷ 20
=
120 h
Distance that Gillian travelled
=
120 x 66
= 3.3 km
1000 m = 1 km
500 m = 0.5 km
Distance between Emily's house and the museum
= 3.3 - 0.5
= 2.8 km
Answer(s): (a) 1 km; (b) 2.8 km