Pallavi and Richa start Simultaenously 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

Foundation

Mathematics Foundation

Time Speed Distance

Question

200 m

240 m

216 m

214 m

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Richa travels 120 m in 25 sec. So, her speed is 4.8 m/s

$\frac{speedof Pallavi}{speedof Richa} = \sqrt{\frac{25}{16}} = \frac{5}{4}$

speed of Pallavi = $\frac{5}{4}$ × 4.8 = 6m/s

Pallavi takes 16 s to reach Q from T. So, distance between T and Q is 16 × 6 = 96 m

Distance between P and Q is

120 + 96 = 216 m.

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