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Two towns A and B are 500 km. apart. A train starts at 8 AM from A towards B at a speed of 70 km/hr. At 10 AM, another train starts from B towards A at a speed of 110 km/hr. When will the two trains meet ?
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- 1 PM
- 12 Noon
- 12.30 PM
- 1.30 PM
Correct Option: B
Let two trains meet after t hours when the train from town A leaves at 8 AM.
∴ Distance covered in t hours at 70 kmph + Distance covered in
(t – 2) hours at 110 kmph = 500km
∴ 70t + 110 (t – 2) = 500
⇒ 70t + 110t – 220 = 500
⇒ 180 t = 500 + 220 = 720
| ⇒ t = | = 4 hours | |
| 180 |
Hence, the trains will meet at 12 noon.
