hope it helps you
Step-by-step explanation:
The distance between two stations = 300 km
Let the speed of first motorcyclists = x km/h
and speed of second motorcyclists = (x + 7) km/h
Distance covered by the first = 2x km
and distance covered by the second = 2 (x + 7) km = 2x + 14 km
∴ Distance uncovered by them = 300 - (2x + 2x + 14) kms.
According to the condition,
300 - (4x + 14) = 34
⇒ 300 - 4x - 14 = 34
⇒ 300 - 14 - 34 = 4x
⇒ 4x = 300 - 48
⇒ 4x = 252 ⇒ x=2524=63
∴ Speed of the first motorcyclists = 63 km/h
and speed of second = 63 + 7 = 70 km/h
Check. Distance covered by both of them
= 2 × 63 + 2 × 70 = 126 + 140 = 266
Total distance = 300 km.
∴ Distance between them = 300 - 266 = 34 km.