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A train leaves a station A at 7 am and reaches another station B at 11 am. Another train leaves B at 8 am and reaches A at 11.30 am. The two trains cross one another at
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- 8:36 am
- 8:56 am
- 9:00 am
- 9:24 am
Correct Option: D
Let both trains meet after t hours since 7 a.m.
Distance between stations A and B = x Km.
∴ | × t + | × (t − 1) = x | ||
4 | 7/2 |
Speed = | |||
Time |
⇒ | + | = 1 | ||
4 | 7 |
⇒ | = 1 | |
28 |
⇒ 15 t – 8 = 28
⇒ 15 t = 28 + 8 = 36
⇒ t = | = | hours | ||
15 | 5 |
= 2 hours 24 minutes
∴ Required time = 9 :24 a.m.