Question

Two trains A and B move on two parallel tracks with a speed of 40 km/hr and 140 km/hr in the opposite direction Find the relative velocity of A with respect to B
Please mathematical answer
Don't give absurd explanation

Answer 1

Explanation:

relative velocity of A wrt B will be

40 + 140 = 180 km/hr

since two trains are traveling opposite to each other their relatI've velocity will get added.

Note: if they are moving in same direction then their relative velocity gets subtracted.

Answer 2

Answer:

THIS IS THE FORMULA TO DO Question. THIS IS NOT YOUR ANS

Explanation:

x-y coordinates of plane A after 3hrs. (1200 * cos 30, 1200 * sin 30) ---->(1039.23, 600)

x-y coordinates of plane b after 3hrs. (1275 * cos -50, 1275 * sin -50) --->(819.55, -976.71)

 

we calculate distance between these two points:

 

√[(1039.23 - 819.55)2 + (600 - (-976.71))2] = √[48259.30 + 2486014.42] = 1591.94 miles

 

400t + 425t = 1591.94

 

825t = 1591.94

 

t ≈ 1.93 hours.

 

distances traveled before impact:

 

plane A: 1.93 * 400 = 771.85 miles

 

plane B: 1.93 * 425 = 820.25 miles