Question

On a drive from your home to town, you wish to average 37.6 mph. The distance from your home to town is 104 miles. However, at 52 miles (half way), you find you have averaged only 28.2 mph. What average speed must you maintain in the remaining distance in order to have an overall average speed of 37.6 mph?

Answer 1

Answer:

the speed of driver will be 56.399 mph to maintain the speed

Explanation:

We have given average speed to cover the distance of 104 miles is 36.5 mph

So distance d = 104 miles

Speed = 37.6 mph

We know that $time\ t=\frac{distance}{speed}=\frac{104}{37.6}=2.766h$

He covers a distance of 52 miles at average speed of 28.2 mph

So time taken to cover 52 miles $time\ t=\frac{distance}{speed}=\frac{52}{28.2}=1.844h$

So left time = 2.766 -1.844 = 0.922 h

Now the driver has to travel 52 miles in 0.922 hour

So $speed=\frac{distance}{time}=\frac{52}{0.922}=56.399mph$

So the speed of driver will be 56.399 mph to maintain the speed