Question

The distance between two station is 300 km two motorcyclists start simultaneously from these stations and move towards each other the speed of one of them is 7 km/ h more than that of the other if the distance between them after 2 hours of their start is 34 km, find the speed of each motorcyclist check your solution please solve this question step by step ​

Answer 1

Step-by-step explanation:

Let the speed of one motorcyclist be x km/h .

Then speed of other motorcyclist will be x+7 km/h

Speed = Distance / Time

So, Distance = Speed×Time

After two hours, distance covered by both motorcyclists will be,

D1 = x × 2

= 2x

D2 = (x + 7)×2

= 2x + 14

Given, total distance is 300km

Distance left = 34km

According to question,

D1 + D2 + 34 = 300

2x + 2x + 14 + 34 = 300

4x + 48 = 300

4x = 252

x = 63

Speed of first motorcyclist = x = 63km/h

Speed of second motorcyclist = x+7 = 70km/h

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