Problems Based on Speed
Solving Statements Involving 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.
For Example: The distance between two points A and B is 340 Km. Two trains start together one from station A and other from station B , The speed of one train is 5 km/hr more than the other train. If the distance between the two trains after two hours is 30 km. Find the speed of the two trains.
Let the speed of one train = x km/hr
Speed of other train will be = x +5 km/hr
Distance = Speed X time
Distance travelled by first train in two hours = 2x
Distance travelled by the second train in two hours = (x+5) X 2= 2x+10
Distance between the two trains after two hours = 30km
According to the question
Distance travelled by one train + distance travelled by second train + 30 = 340
2x+ 2x+ 10 + 30 = 340
4x+ 40 = 340
4x= 300
x= 75 km/hr
Speed of one train = 75 kmhr
Speed of second train = 75 + 5 = 80 kmhr
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 | |||
| View Explanation | |||
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 | |||
| View Explanation | |||
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 | |||
| View Explanation | |||
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