A train takes 45 minutes to travel 51 kins. If the same train travels

1.	A train takes 45 minutes to travel 51 kins. If the same train travels 221 kins, how much time is taken by it?A) 16 hrs 12 min B) 3 hrs 15 min C) 3 hrs 20 min D) 2 hrs 20 min
Answer» Correct option is (B) 3 hrs 15 min Speed = \(\frac{Distance}{Time}\) \(=\frac{51\,km}{45\,minutes}=\frac{51}{45}\,km/minutes\) Same train travels 221 kms \(\therefore\) Taken time \(=\frac{Distance}{Speed}\) \(=\frac{221\,km}{\frac{51}{45}\,km/minutes}\) = 221 \(\times\frac{45}{51}\) minutes = 13 \(\times\frac{45}3\) minutes = 13 \(\times\) 15 minutes = 195 minutes = 180 minutes + 15 minutes = 3 hours 15 min \(\therefore\) Time taken to travel 221 kms by same train is 3 hours 15 min. B) 3 hrs 15 min

A train takes 45 minutes to travel 51 kins. If the same train travels 221 kins, how much time is taken by it?A) 16 hrs 12 min B) 3 hrs 15 min C) 3 hrs 20 min D) 2 hrs 20 min

Answer»

Correct option is (B) 3 hrs 15 min

Speed = \(\frac{Distance}{Time}\)

\(=\frac{51\,km}{45\,minutes}=\frac{51}{45}\,km/minutes\)

Same train travels 221 kms

\(\therefore\) Taken time \(=\frac{Distance}{Speed}\) \(=\frac{221\,km}{\frac{51}{45}\,km/minutes}\)

= 221 \(\times\frac{45}{51}\) minutes

= 13 \(\times\frac{45}3\) minutes

= 13 \(\times\) 15 minutes

= 195 minutes

= 180 minutes + 15 minutes

= 3 hours 15 min

\(\therefore\) Time taken to travel 221 kms by same train is 3 hours 15 min.

B) 3 hrs 15 min