Question 82

The distance between two places, A and B, is 300 km. Two riders, on scooters start simultaneously from A and B towards each other. The distance between them after 2.5hrs is 25 km. If the speed of one scooter is 10 km/hr more than the other, find the speed of each scooter in km/hr.

Solution

Let speed of scooter starting from A be x km/h and from B be (x + 10) km/h

Relative speed = x + x + 10 = (2x + 10) km/h

Distance covered in 2.5 hours = $$2.5\times\ \left(2x+10\right)=5x+25$$

According to the question,

5x + 25 = 300 - 25

5x = 250

x = 50

So, speed of scooters are 50 km/h and 60 km/h.

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