A motorbike is travelling from Town R to Town S. At 60 km/h, it will arrive five 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 R and Town S?
| |
Faster speed |
Slower speed |
| Speed |
75 km/h |
60 km/h |
| Time |
1 u + 2 |
1 u + 5 |
| Distance |
75 (1 u + 2) =
75 u + 150 |
60 (1 u + 5) =
60 u + 300 |
Distance covered for the faster speed or the slower speed is the same.
75 u + 150 = 60 u + 300
75 u - 60 u = 300 - 150
15 u = 150
1 u = 150 ÷ 15 = 10
Distance between Town R and Town S
= 75 u + 150
= 75 x 10 + 150
= 750 + 150
= 900 km
Answer(s): 900 km
