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Arun and Barun walk from P to Q which are at a distance of 21 km from each other. The speed of Arun and Barun is 3kmph and 5 kmph respectively. Barun reaches at Q and returns immediately and meets Arun at point T. Find the distance travelled by Braun when he meets Arun at point T.
1. 36.25 km
2. 26.25 km
3. 16.50 km
4. 26.75 km

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Correct Answer - Option 2 : 26.25 km

Given:

Arun and Barun walk from P to Q which are at a distance of 21 km.

The speed of Arun and Barun is 3kmph and 5 kmph respectively.

Barun reaches at Q and returns immediately and meets Arun at point T

Formula Used:

Time = Distance/ Speed

Calculation:

Let distance between P and T be ‘x’ km.

Thus, in time in which Arun covers x km, Barun covers 21 km + (21 – x) km

⇒ x/3 = [21 + (21 – x)] / 5

⇒ 5x = 3 [42 – x)]

⇒ 5x = 126 – 3x

⇒ 8x = 126

⇒ x = 126/8 = 15.75 km

Thus, Distance travelled by Braun when he meets Arun at point T = 21 km + (21 – x) km

= 21 + 5.25

= 26.25 km

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