Answer:
2.25 miles
Step-by-step explanation:
When driving a car time taken is 20 minutes. This is equal to 20/60 hours , 1/3 hours / 0.3 hours
When riding a bike , time taken is 45 minutes. This is 45/60 hours , 3/5 hours/ 0.75 hours
The formula for speed is : Speed = Distance covered / time taken
The statement is that the driving speed is greater than biking speed by 4.5 mph
Assuming the distance to work is x miles then;
x/ 0.3 - x/0.75 = 4.5 ------eliminate 0.3 by multiplying each term by 0.3 to get
x- 0.3/0.75 x = 1.35 -------eliminate 0.75 by multiplying each term by 0.75 to get
0.75 x - 0.3 x = 1.0125
0.45 x = 1.0125
x= 1.0125 / 0.45
x = 2.25
