A and B travel the same distance at speed of 9 km/hr and 10 km/hr respectively. If A takes 36 minutes more than B, the distance travelled by each is :

A and B travel the same distance at speed of 9 km/hr and 10 km/hr respectively. If A takes 36 minutes more than B, the distance travelled by each is :
[A]48 km
[B]54 km
[C]60 km
[D]66 km

54 km
Let the distance between A and B be x km, then
\frac{x}{9} - \frac{x}{10} = \frac{36}{60} = \frac{3}{5}
=> \frac{x}{90} = \frac{3}{5}
=> x = \frac{3}{5}\times 90 = 54 km.
Hence option [B] is correct answer.

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