Question

17. Distance to Work Johnny gets to work in 20 minutes

Answer 1

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