Problems Based on Speed


 
 
Concept Explanation
 

Problems Based on Speed

Solving Statements Involving Speed:

In these types of problems we consider the relative speed of the two objects. When the two objects are moving in the same direction, the relative speed is the difference of the speed of the two objects. When the two objects are moving in the opposite direction , the relative speed is found as the sum of speed of the two objects.

Illustration: A train travels a distance of 300 km at a certain constant speed. If the speed of train is increased by 5 km an hour it takes two hours less . Find the original speed of train.

Solution: Let the speed of train = x km/h

distance= 300km

Speed = frac{distance}{time}

time = frac{distance}{speed}

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Sample Questions
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Question : 1

A train travels a distance of 300 km at a constant speed. If the speed of the train is increased by 5 km an hour, the journey would have taken 2 hours less. Find the original speed of the train.

Right Option : C
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Question : 2

On a journey of 100km, Meeta travels at a certain speed for the first 60km, and then increases his speed by 15km/h for the remainder. If the whole journey takes 2 hours, find his two speeds.

Right Option : D
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Question : 3

   A car travels a distance of 180 km at a uniform speed. If the speed had been 10 km/hr less, it would have taken 3 hours more to cover the same distance. Find the speed of the car.

Right Option : C
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