Pallavi and Richa start simultaneously from $P$ and $Q$ towards $Q$ and $P$ respectively. They meet on the way at $T,$ which is at a distance of $120$ m from $P$ . If Pallavi and Richa take $16$ s and $25$ s to reach their respective destinations from $T$ , then what is the distance between $P$ and $Q$ ?

214

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200

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240

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216

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Solution

The correct option is D $216$ m
Richa travels 120 m in 25 seconds, therefore, her speed is 4.8 m/s.

Now, Speed of pallavi divided by speed of richa gives $\frac{25}{16} = \frac{5}{4}$ .

Therefore speed of pallavi = $5 \times 4.8 = 6 m / s$

Pallavi takes 16 seconds to reach Q from T, so distance between T and Q is $16 \times 6 = 96 m$

Thus, the distance between P and Q is $120 + 96 = 216 m$ .

Hence option D is correct.

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Pallavi and Richa start simultaneously from P and Q towards Q and P respectively. They meet on the way at T, which is at a distance of 120 m from P. If Pallavi and Richa take 16 s and 25 s to reach their respective destinations from T, then what is the distance between P and Q?