The ratio of speeds of a train and a car is 16 : 15, respectively. A bus covers a distance of 480 km in 8 hours. If the speed of the bus is 3/4th of the speed of the train, then the distance covered by the car in 6 hours is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 450 km
The bus gives a known speed; from it the train’s speed follows, and from the ratio the car’s.
Speed of the bus \(=480\div8=60\) km/h
The bus goes at \(\frac{3}{4}\) of the train’s speed, so the train’s speed \(\displaystyle =60\times\frac{4}{3}=80\) km/h
Train : car \(=16:15\), so the car’s speed \(\displaystyle =80\times\frac{15}{16}=75\) km/h
Distance covered by the car in 6 hours \(=75\times6=450\) km