Question

A jeep covers a certain distance in 5 hours
and a car covers a certain distance in 4 hours,
both travelling in the same direction. The ratio
between the speed of the jeep and the car is 3:2. If the difference between the distance covered
by the jeep and the car is 210 km then what is
the difference between the speed of the jeep and
the speed of the car?​

Answer 1

Answer:

3\5*120=24*3=72km\hr

2\5*120=24*2=48km\hr

24km is the distance betwewn the jeep and the car

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Answer 2

The difference between the speed of the jeep and  the speed of the car is 30 km/h

Step-by-step explanation:

The ratio  between the speed of the jeep and the car is 3:2

Formula: $\text{Distance}}=\text{Speed}\times \text{Time}$

• For Jeep:-

Speed of Jeep, $S_J=3x$

Time taken, $t=5\ hours$

Let distance covered by Jeep be J km

Therefore,

$J=3x\times 5$

$J=15x$

• For car:-

Speed of car, $S_C=2x$

Time taken, $t=4\ hours$

Let distance covered by car be C km

Therefore,

$C=2x\times 4$

$C=8x$

If the difference between the distance covered  by the jeep and the car is 210 km

Therefore,  |J-C| = 210

$15x-8x=210$

$7x=210$

$x=30$

Speed of Jeep, $S_J=3x=3\times 30=90\text{ km/h}$

Speed of Car, $S_C=2x=2\times 30=60\text{ km/h}$

Difference between the speed of the Jeep and speed of the car:-

$\Rightarrow 90-60$

$\Rightarrow 30\text{ km/h}$

#Learn more:

Speed and distance relation

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