A bus covers 320 km distance in 5 1/2 hours. Find the speed of the bus.

Question

ScanSolve AI Tutor · Accepted Answer

To find the speed of the bus, we use the formula:

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

Identify the given values and convert the time to an improper fraction.
Distance $= 320 \text{ km}$
Time $= 5\frac{1}{2} \text{ hours} = \frac{5 \times 2 + 1}{2} \text{ hours} = \frac{11}{2} \text{ hours}$
Substitute the values into the formula.
$\text{Speed} = \frac{320 \text{ km}}{\frac{11}{2} \text{ hours}}$
Calculate the speed by multiplying the distance by the reciprocal of the time.
$\text{Speed} = 320 \times \frac{2}{11} \text{ km/hr}$ $\text{Speed} = \frac{640}{11} \text{ km/hr}$
Convert the fraction to a decimal, if preferred, and round to two decimal places.
$\text{Speed} \approx 58.18 \text{ km/hr}$
The speed of the bus is $\text{58.18 km/hr}$ .

Answer