Multiple choice

Captain of ship was informed about a damage at the bottom of the ship, 77km away from shore. The damage part allows 2.25 tonnes of water in 330 sec. Captain ask to run the pump which can reduce 0.2 tonnes of water in ship every minute. If 92 tonnes of water is sufficient to sink the ship, then find the speed at which captain should sail in order to reach the shore?

  1. 9.75 Km/hr

  2. 11.25 Km/hr

  3. 10.50 Km/hr

  4. 12 Km/hr

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Water inflow = 2.25 tonnes in 330 sec = 0.409 tonnes/min. Pump removes 0.2 tonnes/min. Net inflow = 0.409 - 0.2 = 0.209 tonnes/min. To sink: 92 tonnes needed. Time to sink = 92/0.209 ≈ 440 min. To reach shore in 440 min: speed = 77 km / (440/60) hr = 77 × 60/440 ≈ 10.5 km/hr. Option C correct.

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