An aeroplane covers 2975 km distance in 3 1/2 hours. Find the speed of the aeroplane.

Question

ScanSolve AI Tutor · Accepted Answer

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

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

Identify the given values and convert the time to an improper fraction.
Distance $= 2975 \text{ km}$
Time $= 3\frac{1}{2} \text{ hours} = \frac{3 \times 2 + 1}{2} \text{ hours} = \frac{7}{2} \text{ hours}$
Substitute the values into the formula.
$\text{Speed} = \frac{2975 \text{ km}}{\frac{7}{2} \text{ hours}}$
Calculate the speed by multiplying the distance by the reciprocal of the time.
$\text{Speed} = 2975 \times \frac{2}{7} \text{ km/hr}$ $\text{Speed} = \frac{5950}{7} \text{ km/hr}$
Perform the division.
$\text{Speed} = 850 \text{ km/hr}$
The speed of the aeroplane is $\text{850 km/hr}$ .

Answer