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Question

(A) $1$. Calculate the speed of the tractor: $	ext{Speed} = \frac{	ext{Distance}}{	ext{Time}} = \frac{360 	ext{ km}}{12 	ext{ h}} = 30 	ext{ km/

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(A) $1$. Calculate the speed of the tractor: $	ext{Speed} = \frac{	ext{Distance}}{	ext{Time}} = \frac{360 	ext{ km}}{12 	ext{ h}} = 30 	ext{ km/h}$.$2$. Given the ratio of speeds (Car : Jeep : Tractor) is $3:5:2$. Let the speeds be $3x, 5x, 2x$ respectively.$3$. From the problem,the speed of the tractor is $2x = 30 	ext{ km/h}$,so $x = 15 	ext{ km/h}$.$4$. Speed of the car = $3x = 3 	imes 15 = 45 	ext{ km/h}$.$5$. Speed of the jeep = $5x = 5 	imes 15 = 75 	ext{ km/h}$.$6$. The average speed of the car and the jeep = $\frac{	ext{Speed of car} + 	ext{Speed of jeep}}{2} = \frac{45 + 75}{2} = \frac{120}{2} = 60 	ext{ km/h}$.

The respective ratio between the speeds of a car,a jeep,and a tractor is $3:5:2$. The speed of the jeep is $250\%$ of the speed of the tractor,which covers $360 \text{ km}$ in $12 \text{ hours}$. What is the average speed of the car and the jeep together in $\text{km/h}$?

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