Multiple choice

Two trains having lengths in the ratio 3 : 4 and the speeds of both trains are in the ratio of 5 : 6 respectively. Find the ratio of the time taken by them to cross a pole? दो रेलगाड़ियों के लंबाई का अनुपात 3: 4 और उनकी चाल का अनुपात 5: 6 है । एक खम्भे को पार करने के लिए उनके द्वारा लिये गये समय का अनुपात क्या है?

  1. 5 : 8

  2. 8 : 5

  3. 9 : 10

  4. 5 : 6

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C Correct answer
Explanation

Time to cross a pole = Length/Speed. If lengths are 3x, 4x and speeds are 5y, 6y, then times are (3x/5y) and (4x/6y) = (2x/3y). Ratio of times = (3x/5y) : (2x/3y) = 9:10.