Question

The ratio of the speeds of two vehicles is 2:3.If the second Vehicle covers 72km in 2 hours,what is the speed of the first vehicle?

Answer 1

Ratio=2:3

Let them be 2x and 3x

Speed of second vehicle is 72/2 kmph that is 36 kmph.

Now 3x=36 kmph

X=12 kmph

2x=24 kmph.

The speed of first vehicle is 24 kmph.

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Answer 2

Answer:

The speed of the first vehicle is 24 km/h.

Step-by-step explanation:

Let the speed of the first vehicle be 2x km/h and the speed of the second vehicle be 3x km/h. Given that the second vehicle covers 72 km in 2 hours, we can use the formula:

distance = speed × time

to find the speed of the second vehicle.

distance covered by the second vehicle = 72 km

time taken by the second vehicle = 2 hours

Therefore, speed of the second vehicle = distance/time = 72/2 = 36 km/h

Using the given ratio of speeds, we can set up the following proportion:

2x/3x = v1/v2

where v1 is the speed of the first vehicle and v2 is the speed of the second vehicle.

Simplifying this proportion, we get:

2/3 = v1/36

Multiplying both sides by 36, we get:

v1 = (2/3)×36 = 24 km/h

Therefore, the speed of the first vehicle is 24 km/h.

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