Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is
Explanation:
Let the time taken to meet after starting be t mins.
Time taken by A to reach Y after meeting = (10 – t) mins Time taken by B to reach X after meeting = 9 mins
⇒ t2 = (10 - t) × 9 ⇒ t2 +9t – 90 = 0 ⇒ (t + 15)(t - 6) = 0 ⇒ t = 6 (-15 is rejected)
Total time taken by B to reach Y = 6 + 9 = 15 mins.
Hence, option (b).
Concept: Time taken to reach other end after meeting
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