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The distance between Delhi and Mathura is 110 km. A starts from Delhi at 7 a.m. with a speed of 20 kmph towards Mathura, and B starts from Mathura at 8 a.m. with a speed of 25 kmph towards Delhi. When will they meet?

  • A.10.30 a.m.
  • B.10.00 a.m.
  • C.9.30 a.m.
  • D.9.00 a.m.

Answer: B

A has a one-hour head start:

\[ 20 \times 1 = 20 \text{ km covered by 8 a.m.} \]

\[ \text{gap remaining} = 110 - 20 = 90 \text{ km} \]

They approach at \( 20 + 25 = 45 \) kmph:

\[ t = \frac{90}{45} = 2 \text{ hours} \]

So they meet at 10 a.m.

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