A bus is travelling from Town J to Town K. At 60 km/h, it will arrive four hours later than the scheduled time. At 75 km/h, it will arrive at two hours later than the scheduled time. What is the distance between Town J and Town K?
| |
Faster speed |
Slower speed |
| Speed |
75 km/h |
60 km/h |
| Time |
1 u + 2 |
1 u + 4 |
| Distance |
75 (1 u + 2) =
75 u + 150 |
60 (1 u + 4) =
60 u + 240 |
Distance covered for the faster speed or the slower speed is the same.
75 u + 150 = 60 u + 240
75 u - 60 u = 240 - 150
15 u = 90
1 u = 90 ÷ 15 = 6
Distance between Town J and Town K
= 75 u + 150
= 75 x 6 + 150
= 450 + 150
= 600 km
Answer(s): 600 km
