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Question:
The ratio of speeds of 2 vehicles is 2:3 if the first vehicle covers 50 km in 3 hours , what distance would the second vehicle cover in 2 hours ?
Answer:

Given, the ratio of speeds of 2 vehicles is 2 : 3

Let the speed of the first vehicle = 2x km/hr

and the speed of the second vehicle = 3x km/hr

Again given, distance covered by the first vehicle in 3 hr = 50 km

So, the speed of the first vehicle = 50/3 km/hr

=> 2x = 50/3

=> x = 50/(2*3)

=> x = 25/3

So, the speed of the second vehicle = 3 * 25/3 = 25 km

Let the distance covered by the second vehicle in 2 hr = y km

So, 25 = y/2

=> y = 25*2

=> y = 50 km

Hence, the distance covered by the second vehicle in 2 hr = 50 km

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