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1. Francis and his parents went for a long drive on a long weekend using two different cars. Francis drove at 95 km/hr and his parents at 85 km/hr. Assuming no traffic and Francis and his parents starting at the same time and the same location using the same route, how far apart are they after 3 hours?
a. 25 km
b. 30 km --- answer
c. 35 km
d. 40 km
Solution:
S = v * t
where:
S = distance
v = velocity (speed)
t = time of travel
solving for their distances after 3 hours,
Francis
S = v * t
S = 95 km/hr * 3 hr
S = 285 km
Parents
S = v * t
S = 85 km/hr * 3 hr
S = 255 km
Distance apart
= 285 - 255
= 30 km
2. A certain lemonade juice mixture contains 0.25 ml of lemon juice and 6 grams of sugar for every cup of water. If 16 cups of water is to be used, how much lemon juice and sugar is to be added to the mixture?
A. 3 ml & 92 grams
B. 3 ml & 86 grams
C. 4 ml & 69 grams
D. 4 ml & 96 grams
D --- answer
Solution:
step1:
determine the original proportions of the mixture
1 : 0.25 : 6
1 cup of water
0.25 ml lemon juice
6 grams of sugar
step2:
determine the total amount of water needed, in order to get the multiplier
total water (given)
= 16 cups
multiplier = 16
step3:
use the multiplier in step2 to solve for the total amount of lemon juice and sugar needed
from the original proportions,
1 : 0.25 : 6
1 cup of water
0.25 ml lemon juice
6 grams of sugar
total lemon juice
= 0.25 x 16
= 4 ml
total sugar
= 6 x 16
= 96 grams
Answer:
4 ml & 96 grams
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