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 dist… — Answer & Discussion

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.

A50 and 60
B30 and 40
C40 and 50
D60 and 70

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CCommunity23 Apr 2019

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

CCommunity27 Nov 2019

Let 1st scooter speed be 'x' &2nd be 'x+10'

Relative speed= X+X+10 =2x+10

Distance in 2.5 hr= time × relative speed

=2.5 × (2x+10)=5x+25

A/c to ques.

5x+25=300-25

X=50km/hr

X+10=60km/hr