Trains A and B started from X and Y respectively at the same time towards each other. They crossed each other after 4 hours. A travels the distance XY in 10 hours. Find the time taken by B to travel XY.

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  1. 6.4 hours
  2. 4.8 hours
  3. 7.2 hours
  4. 6.67 hours
  5. 4.5 hours

Answer (Detailed Solution Below)

Option 4 : 6.67 hours
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Detailed Solution

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Formula:

Let t be the time taken by A and B to cross each other

Let t1 and t2 be the times taken by A and B respectively to reach their destinations after crossing each other

 Then, t2 = t1 × t2

Calculation:

Here, t = 4 hours

t1 = 10 hours

Time taken by train A after meeting =10 - 4 = 6 hours

⇒ 42 = 6 × t2

⇒ 16 = 6 × t2

⇒ t2 = 2.67

∴ Total time taken by B to travel XY = 4 + 2.7 = 6.67 hours

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