# CAT Practice : Speed Time, Races

## Distance betw A and B

Q.25: Two persons A and B start moving at each other from point P and Q respectively which are 1400 Km apart. Speed of A is 50 Km/hr and that of B is 20 Km/hr. How far is A from Q when he meets B for the 22nd time?
1. 1000 Km
2. 400 Km
3. 800 Km
4. 1400 Km

Choice B.600 Km

## Detailed Solution

For 22nd meeting, total distance travelled = 22 x 2 x 1400 Km

Distance travelled by A = $\frac{5}{7} * 44 * 1400 = 44000$Km (1400 x 31 + 600).Therefore, A would be 600 Km from Q.

Correct Answer: 600 Km

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## More questions from Speed Time, Races

"Life is a race ... if you don't run fast ... you will be like a broken undaa" - Veerusahasra Buddhi