A car is travelling from Town M to Town N. 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 M and Town N?
| |
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 M and Town N
= 75 u + 225
= 75 x 5 + 225
= 375 + 225
= 600 km
Answer(s): 600 km
