Correct Option (B)
To determine the ratio of distances travelled in one hour, the speed of each vehicle must first be calculated.
- Distance covered by the bus in 4 hours = 160 km.
- Distance covered by the bus in 1 hour (speed of bus) = 160 km / 4 hours = 40 km/hour.
- Distance covered by the train in 5 hours = 320 km.
- Distance covered by the train in 1 hour (speed of train) = 320 km / 5 hours = 64 km/hour.
The required ratio of the distances travelled by the bus to the train in one hour is:
Ratio = Speed of Bus : Speed of Train = 40 : 64
Simplifying the ratio by dividing both numbers by their greatest common divisor (8):
40/8 : 64/8 = 5 : 8
Incorrect Options:
- Option (A) 8:5: This ratio would be obtained if the order of comparison was reversed (Train : Bus) or if an error in calculation occurred.
- Option (C) 4:5: This ratio is not derived from the correct calculation of speeds and their subsequent simplification.
- Option (D) 1:2: This ratio is significantly different from the correct calculation and would result from substantial errors in determining the speeds or their ratio.