Question

plz answer this
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'The distance between two stations is 300km..Two motorcyclists start from these statioms towards each other...Speed of one of them is 7km/hr more than that of other...If the distance between them after 2 hours of their start is 34 km...find the speed of each motorcyclist....
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Answer 1

Let the speed of one motorcyclist be 'x' km/hr.

Given that Speed of one of them is 7 km/hr.

Then, the speed of other motorcyclist be (x + 7) km/hr.

Distance between them after 2 hours:

⇒ Speed of one motorcyclist = 2x km.

⇒ Speed of other motorcyclist = 2(x + 7) km/hr.

Now,

⇒ 2x + 2(x + 7) + 34 = 300

⇒ 2x + 2x + 14 + 34 = 300

⇒ 4x + 48 = 300

⇒ 4x = 252

⇒ x = 63.

Then:

⇒ x + 7

⇒ 70.

Therefore:

⇒ Speed of one motorcyclist = 63 km/hr.

⇒ Speed of another motorcyclist = 70 km/hr.

Hope it helps!