A car during its journey travels 30 text{ min | vedclass

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Question

(D) The formula for average speed is $	ext{Average Speed} = \frac{	ext{Total Distance}}{	ext{Total Time}}$.First,convert all time intervals into ho

Vedclass · Accepted Answer

None of these

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(D) The formula for average speed is $	ext{Average Speed} = \frac{	ext{Total Distance}}{	ext{Total Time}}$.First,convert all time intervals into hours:$T_1 = 30 	ext{ min} = 0.5 	ext{ h}$$T_2 = 45 	ext{ min} = 0.75 	ext{ h}$$T_3 = 2 	ext{ h}$Next,calculate the distance traveled in each interval $(D = 	ext{speed} 	imes 	ext{time})$:$D_1 = 40 	imes 0.5 = 20 	ext{ km}$$D_2 = 60 	imes 0.75 = 45 	ext{ km}$$D_3 = 70 	imes 2 = 140 	ext{ km}$Total Distance $= 20 + 45 + 140 = 205 	ext{ km}$Total Time $= 0.5 + 0.75 + 2 = 3.25 	ext{ h}$$	ext{Average Speed} = \frac{205}{3.25} \approx 63.07 	ext{ km/h}$.Since $63.07$ is not among the options,the correct answer is $D$.

$A$ car during its journey travels $30 \text{ minutes}$ at a speed of $40 \text{ km/h}$,another $45 \text{ minutes}$ at a speed of $60 \text{ km/h}$,and $2 \text{ hours}$ at a speed of $70 \text{ km/h}$. The average speed of the car is (in $\text{km/h}$):

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