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The two railway stations A and B are at a distance of 110 km from each other. Train M departs from station A at 7 am and travels towards station B at
Question

The two railway stations A and B are at a distance of 110 km from each other. Train M departs from station A at 7 am and travels towards station B at a speed of 20 km/h. Train P departs from Station B at 8 am and travels towards Station A at a speed of 25 km/h. What time will the two meet?

A.

9.00 am

B.

10.00 am

C.

10.15 am

D.

11.00 am

Correct option is B

Given
Distance AB = 110 km
Train M: Starts 7 am, Speed 20 km/h
Train P: Starts 8 am, Speed 25 km/h

Solution
By 8 am, Train M has traveled for 1 hour.
Distance covered by M = 20 km.
Remaining distance = 110 - 20 = 90 km.
Relative speed (opposite direction) = 20 + 25 = 45 km/h.
Time taken to meet = 9045 \frac{90}{45} ​= 2 hours.
Meeting time = 8 am + 2 hours = 10 am.

Final Answer
So the correct answer is (b)

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