Question

In driving from town a to town b, mr Patel drove for 3 hours at 40 miles per hour and 1 hour at 48 miles per hour. What was his average speed for this position of the trip?

Answer 1

His average speed for this position of the trip is 30.67 miles/hr.

Step-by-step explanation:

Given : In driving from town a to town b, Mr.Patel drove for 3 hours at 40 miles per hour and 1 hour at 48 miles per hour.

To find : What was his average speed for this position of the trip ?

Solution :

Formula used :

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

When Mr.Patel drove for 3 hours at 40 miles per hour.

The speed is given by,

$S_1=\frac{40}{3}\ \text{mile/hr}$

When Mr.Patel drove for 1 hour at 48 miles per hour.

The speed is given by,

$S_2=\frac{48}{1}=48\ \text{mile/hr}$

The average speed is given by,

$S=\frac{S_1+S_2}{2}$

$S=\frac{\frac{40}{3}+48}{2}$

$S=\frac{\frac{40+144}{3}}{2}$

$S=\frac{184}{3\times 2}$

$S=\frac{92}{3}$

$S=30.67\ \text{mile/hr}$

Therefore, his average speed for this position of the trip is 30.67 miles/hr.

#Learn more

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