Answer:
2.4 miles
Step-by-step explanation:
From the question;
- When using the bike, speed is 12 mph
- When using the car, the speed is 48 mph
- He takes 1/4 hrs less when using the car than when he uses the bike.
We are going to assume the distance to the office is x miles
Therefore;
Time taken when using the bike;
Time = distance ÷ speed
= x/12 hours
Time taken when using the car;
Time = x/48 hours
But, time taken when using the car is 1/4 hours less.
Therefore;
1/12 hours - x/48 hours = 1/4 hr
That is;
We want to solve for x.
Multiplying by LCM, 48
We get,
5x = 12
x = 12/5
= 2.4 miles
Therefore, the office is 2.4 miles away.
