Question

The initial odometer reading of a cab is 369km. It traveled for 2 hours and the final odometer reading showed 469 km. Find the approximate average speed of the cab

• A. 14 ms^-1
• B. 11 ms^-1
• C. 8 ms^-1
• D. 17 ms^-1

Answer 1

The correct option is A

14 ms^-1

Step 1: Given data

Initial odometer reading = 369 km

Final odometer reading = 469 km

Change in odometer reading = 469 - 369 = 100 km

Total time is taken t = 2 hr

Step 2: Calculation

Distance:

Distance is defined as the total path traveled between two points.

Here, Distance = change in odometer reading.

So, Distance traveled = 100 km

Speed :

Speed is defined as the ratio of distance traveled to the total time taken.

$$\begin{gathered} Speed=\frac{Dis\tan cetravele}{timetaken} \\ =\frac{100}{2}=50\frac{km}{hr} \end{gathered}$$

Converting to ms^-1

$$\begin{gathered} speed=\frac{50\times 5}{18} \\ =13.9m{s}^{-1} \end{gathered}$$

Hence,

the correct option is (a)