Ram is thrice as fast as Mohan and Nohan is twice as fast as Sohan. The distance covered by Sohan in 42 minutes will be covered by Mohan in

Question

নিচের অপশন গুলা দেখুন

• 22 min
• 21 min
• 18 min
• 20 min

Answer 1

সঠিক উত্তর হচ্ছে: 21 min

ব্যাখ্যা: Given:
Ram is thrice as fast as Mohan
Mohan is twice as fast as Sohan
Formula:
Time is inversely proportional to speed.
Calculation: Let the speed of Sohan be x unit
Speed of Mohan = 2x
Speed of Ram = 3 × 2x = 6x
⇒ Speed ratio of Ram, Mohan, and Sohan = 6x : 2x : x
Ratio of time taken by Ram, Mohan, and Sohan = 1/6x : 1/2x : 1/x = 1 : 3 : 6
⇒ Ratio of time taken by Ram, Mohan, and Sohan = k : 3k : 6k
According to the question
6k = 42
⇒ k = 42/6
⇒ k = 7
∴ Time taken by Mohan to cover the same distance = 3 × 7 = 21 min