Two ports A and B are 300 km apart. Two ships leave A for B such that the second leaves 8 hours after the first. The ships arrive at B simultaneously. Find the time the slower ship spent on the trip if the speed of one of them is 10 km/h higher than that of the other.

Question

নিচের অপশন গুলা দেখুন

• 5 hours
• 15 hours
• 25 hours
• 20 hours

Answer 1

সঠিক উত্তর হচ্ছে: 20 hours

ব্যাখ্যা: Let speed of the 1^st ship is s kmph and speed of 2^nd ship is (s + 10) kmph.\nLet 2^nd ship takes time t to cover the distance 300 km then 1^st ship takes (t + 8) hours.\n\nAs distance is constant, we have,\ns/(s+10)=t/(t+8)\nOr, st + 8s = st + 10t\nOr, 8s = 10t\n\nIf the slower ship took 20 hours (option D) the faster ship would take 12 hours and their respective speeds would be 15 and 25 kmph.