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ICSE Class 7 Answered

Two trains of the same length but with the different speeds pass a stationary pole in 4 seconds and 5 seconds respectively. In what time will they cross each other when they are moving in the (a) same direction and (b) opposite direction? 
Asked by Adib Hossain | 21 Jan, 2019, 08:36: PM
answered-by-expert Expert Answer
Let L metre be the length of each train.
If first train crosses stationary pole in 4 seconds, then its speed = ( L/4 ) m/s
If second train crosses stationary pole in 5 seconds, then its speed = ( L/5 ) m/s
 
if both trains travel in same direction, time taken to cross each other = begin mathsize 12px style fraction numerator 2 L over denominator open parentheses begin display style L over 4 minus L over 5 end style close parentheses end fraction space equals space 40 space s end style
 
if both trains travel in opposite direction, time taken to cross each other = begin mathsize 12px style fraction numerator 2 L over denominator open parentheses begin display style L over 4 plus L over 5 end style close parentheses end fraction space equals space 40 over 9 space s end style
Answered by Thiyagarajan K | 22 Jan, 2019, 07:32: AM
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