Kinematics 3 Question 4

4. A passenger train of length 60m travels at a speed of 80km/hr. Another freight train of length 120m travels at a speed of 30km/hr. The ratio of times taken by the passenger train to completely cross the freight train when : (i) they are moving in the same direction and (ii) in the opposite direction is

(2019 Main, 12 Jan I)

(a) 32

(b) 2511

(c) 115

(d) 52

Show Answer

Answer:

Correct Answer: 4. (c)

Solution:

  1. When trains are moving in same direction relative speed =|v1v2| and in opposite direction relative speed

=|v1+v2|

Hence, ratio of time when trains move in same direction with time when trains move in opposite direction is

t1t2=l1+l2|v1v2|l1+l2|v1+v2|=|v1+v2||v1v2|

where, l1+l2= sum of lengths of trains which is same as distance covered by trains to cross each other

So, t1t2=80+308030=11050=115



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक