Question

the distance between two station a and b is 310 km to motorcycles start simultaneously from A and B in the opposite direction and the distance between after 4 hours is 30 km if the speed of an motorcycle is less than that of the Other by 10 km per hour find the speed of each motorcycle

Answer 1

Please see the attachment

Answer 2

• Speed of each motorcycle is equal to 40 km/h and 30 km/h .

Given :-

• Distance between two station A and B is 310 km .
• The speed of an motorcycle is less than that of the other by 10 km per hour .
• The distance between them after 4 hours is 30 km .

To Find :-

• Speed of each motorcycle ?

Formula used :-

• Distance = Speed × Time .
• Usual speed in opposite direction = S1 + S2 .

Solution :-

Let us assume that, the speed of faster motorcycle is x km/h .

So,

→ Speed of slower motorcycle = (x - 10) km/h { since difference between their speed is 10 km/h . }

then,

→ Usual speed of both motorcycles = The speed of faster motorcycle + the speed of slower motorcycle = x + (x - 10) = (2x - 10) km/h { since they are in opposite direction . }

now,

→ Total distance between A and B = 310 km

and,

→ Distance left between them after 4 hours = 30 km

So,

→ Total distance covered = 310 - 30 = 280 km

and,

→ Time taken = 4 hours .

therefore,

→ Usual speed × Time taken = Total distance covered

→ (2x - 10) × 4 = 280

→ (2x - 10) × 4 = 4 × 70

dividing both sides by 4,

→ 2x - 10 = 70

→ 2x = 70 + 10

→ 2x = 80

→ 2x = 2 × 40

dividing both sides by 4,

→ x = 40 km/h .

hence,

→ Speed of faster motorcycle = x = 40 km/h .

→ Speed of slower motorcycle = x - 10 = 40 - 10 = 30 km/h .

Learn more :-

While covering a distance of 30km.Sampath takes 2 hours more than Sannihith.If Sampath doubles his speed he would take 1...

https://brainly.in/question/46506959

A travels a certain distance with his usual speed. If he reduces his speed by 5 miles per hour, he

reaches 5 hours ate. ...

https://brainly.in/question/40732028

one day , hari walked along a circular track for 3 hours . he then cycled along the track for the time he would take to ...

https://brainly.in/question/40976068