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Crank
3 years ago
11

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 l

ess than his time bicycling how far is his office
Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

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;

\frac{x}{12} + \frac{x}{48}= \frac{1}{4}

We want to solve for x.

Multiplying by LCM, 48

We get, 4x + x = 12

  5x = 12

    x = 12/5

      = 2.4 miles

Therefore, the office is 2.4 miles away.

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