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A boat starts travelling from point Q then returns to point P. The boat takes 12 hours to complete the journey. The speed of the stream is 5 km/hour and the speed of the boat in still water is 10 km/hour. What is the distance between P and Q?

1. 25
2. 45
3. 30
4. 140

Correct answer: 45

Solution

Downstream speed = 15 km/hr. Upstream speed = 5 km/hr. Let distance P to Q = d. Time for both legs: d/15 + d/5 = 12. → d/15 + 3d/15 = 12 → 4d/15 = 12 → d = 45 km. Note: original source had '25' as answer (listed twice in options) which is incorrect. Correct answer is 45 km.

Related IBPS PO Quantitative Aptitude questions

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