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Two people A, and B start running simultaneously in the same direction from the point P and Q respectively. If the distance between P and Q is 10 km. A reaches another point R which is in the same line and returns immediately after traveling for 10 km more from the point R, he meets B at point Y which is in between point P and Point R. If the rate of speed of A, and B is 10 km/h and 5 km per hour then find the distance between P and R. (it is given that PR > QR)1. 50 km2. 30 km3. 20 km4. 10 km5. 25 km |
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Answer» Correct Answer - Option 1 : 50 km Calculation: Rate of speed of A = 10 km/h Rate of speed of B = 5 km/h Let after reaching R they meet at point Y P__________Q________________Y____________________R 10km x km 10 km In the time A will travel 10 + X + 10 + 10 km in the same time B will travel only x km We know that distance = speed × time Here time is equal so Time taken by A to travel 30 + x km = time taken by B to travel x km ⇒ (30 + x)/10 = x/5 ⇒ x = 30 ∴ the distance between P and R = 10 + 30 + 10 ⇒ 50 km The distance between P and R is 50 km. |
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