Two buses start from a bustand with velocities 10 km/h and 30 km/h along two tracks inclined at 60. Find the distance between them after 12 minutes.

Asked by Adarsh | 16th Dec, 2013, 08:00: AM

Expert Answer:

 
The two buses start at the bus stand and in 12 minutes, first bus covers a distance b and the second bus covers a distance c.
 
v1 = 10 km/h
v2 = 30 km/h
t = 12 min = 1/5 hours
 
Distance travelled by first bus is b = 10 × (1/5) = 2 km
Distance travelled by second bus is c = 30 × (1/5) = 6 km
 
Now, using cosine rule for triangles, we get
 
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Answered by Romal Bhansali | 16th Dec, 2013, 05:58: PM

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