A van is travelling from Town Q to Town R. At 65 km/h, it will arrive five hours later than the scheduled time. At 75 km/h, it will arrive at three hours later than the scheduled time. What is the distance between Town Q and Town R?
| |
Faster speed |
Slower speed |
| Speed |
75 km/h |
65 km/h |
| Time |
1 u + 3 |
1 u + 5 |
| Distance |
75 (1 u + 3) =
75 u + 225 |
65 (1 u + 5) =
65 u + 325 |
Distance covered for the faster speed or the slower speed is the same.
75 u + 225 = 65 u + 325
75 u - 65 u = 325 - 225
10 u = 100
1 u = 100 ÷ 10 = 10
Distance between Town Q and Town R
= 75 u + 225
= 75 x 10 + 225
= 750 + 225
= 975 km
Answer(s): 975 km
