If dr. bob ride his bike to his office he averages 12 mph if he drives his car he averages 48 mph his time driving is 1/4 hour less than his time bicycling how far is his office

2.4 miles

Step-by-step explanation:

From the question;

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.

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step-by-step explanation: