A motorbike is travelling from Town P to Town Q. At 55 km/h, it will arrive four hours later than the scheduled time. At 65 km/h, it will arrive at two hours later than the scheduled time. What is the distance between Town P and Town Q?
| |
Faster speed |
Slower speed |
| Speed |
65 km/h |
55 km/h |
| Time |
1 u + 2 |
1 u + 4 |
| Distance |
65 (1 u + 2) =
65 u + 130 |
55 (1 u + 4) =
55 u + 220 |
Distance covered for the faster speed or the slower speed is the same.
65 u + 130 = 55 u + 220
65 u - 55 u = 220 - 130
10 u = 90
1 u = 90 ÷ 10 = 9
Distance between Town P and Town Q
= 65 u + 130
= 65 x 9 + 130
= 585 + 130
= 715 km
Answer(s): 715 km
