A van is travelling from Town Q to Town R. At 60 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 |
60 km/h |
Time |
1 u + 3 |
1 u + 5 |
Distance |
75 (1 u + 3) = 75 u + 225 |
60 (1 u + 5) = 60 u + 300 |
Distance covered for the faster speed or the slower speed is the same.
75 u + 225 = 60 u + 300
75 u - 60 u = 300 - 225
15 u = 75
1 u = 75 ÷ 15 = 5
Distance between Town Q and Town R
= 75 u + 225
= 75 x 5 + 225
= 375 + 225
= 600 km
Answer(s): 600 km