Anurag traveled a distance of 45 km in 8 h 45 min. He traveled

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Anurag traveled a distance of 45 km in 8 h 45 min. He traveled partly on foot at 3 km/h and partly by bicycle at 8 km/h .The distance traveled on the bicycle, is ?

1. 25 km
2. 15 km
3. 30 km
4. 20 km

Correct Option: C

Let the distance traveled on foot be x km
Then, distance converted by bicycle = (45 - x) km
∴ x/3 + (45 -x) /8 = 8³/₄ = 35/4
⇒ (8x + 135 - 3x)/24 = 35/4
⇒ 5x + 135 = 210
⇒ 5x = 75
⇒ x = 15
∴ Distance converted by bicycle = (45 - 15) = 300 km