john takes 15 minutes to walk from school to the bus station. Jim takes 20 minutes to walk from school to the bus station. If th

Question

3 years ago

9

e difference in their speeds is 2 km/h, how far is the station from school

1 answer:

Anastasy [175] · Answer 1 · 2022-03-29T13:48:18+03:00

Let x km/h be the Jim's speed. If the difference in Jim's and John's speeds is 2 km/h, then the John's speed is x+2 km/h.

1. John takes 15 minutes to walk with speed x+2 km/h from school to the bus station, then the distance is 15·(x+2) km.

2. Jim takes 20 minutes to walk with speed x km/h from school to the bus station, then the distance is 20·x km.

3. The distance is the same, so

20x=15(x+2),

20x=15x+30,

20x-15x=30,

5x=30,

x=30:5,

x=6.

Answer: the distance between the station and the school is 6 km.