Chris went to his friend Andrew’s birthday party. He travelled 0.55 the distance by bus and walked the rest.
a) What fraction of the distance did Chris walk?
b) If Chris walked a distance of 1.8km, how far from Andrew did he live?
Answer
km
a.
0.45 = 45/100 = 9/20
b.
0.45x = 1.8
x = 4 km
To find the fraction of the distance Chris walked, we need to determine the total distance traveled by combining the distance he traveled by bus and the distance he walked.
a) Total Distance = Distance by bus + Distance walked
Since he traveled 0.55 the distance by bus, the fraction of the distance he walked can be found by subtracting his bus distance from the total distance and then taking the ratio of the distance walked to the total distance:
Fraction of distance walked = Distance walked / Total Distance
To calculate this fraction, we will need to know the total distance traveled.
b) To find how far from Andrew Chris lives, we need to know the distance he walked and the total distance traveled. If Chris walked a distance of 1.8 km, we can find the total distance traveled by dividing the distance walked by the fraction of the distance he walked:
Total Distance = Distance walked / Fraction of distance walked
Once we have the total distance, we can determine how far from Andrew Chris lives by subtracting the total distance from the distance traveled by bus.