Jacks father drives to work in 30 minutes while driivng at his usual speed. When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer. How far is Jack's father's work from home

The distance of Jack's father's work from home is 22.5 miles.

Step-by-step explanation:

Given;

time it takes Jacks father at usual speed, t = 30 minutes = 0.5 hour

Jacks father speed when traffic is bad, = 30 mph slower

let the usual speed = v

let the distance of Jack's father's work from home = y

When traffic is normal;

When traffic is bad;

Solve equation (1) and (2) together;

Therefore, the distance of Jack's father's work from home is 22.5 miles.