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 2.5 hrs is 25 km. If the speed of one scooter of one scooter is 10 km/hr more than the other

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 2.5 hrs is 25 km. If the speed of one scooter of one scooter is 10 km/hr more than the other, find the speed of each scooter in km/hr.
1). 50 and 60
2). 30 and 40
3). 40 and 50
4). 60 and 70

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

Relative speed $= x + x + 10 = 2x + 10$ km/hr

Distance covered in $2.5$ hr = Time × Relative speed $= 2.5 × (2x + 10) = 5x + 25$

According to question,

$5x + 25 = 300 - 25$

$x = 50$

Speed of scooters are 50 and 60 km/hr

60

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