CUET UG 2025 — General Test Arithmetic

The bus covers a distance of 480 km in 8 hours.

Speed of bus $= \dfrac{480}{8}$=8480​

Speed of bus $= 60$=60 km/h

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The speed of the bus is $\dfrac{3}{4}$43​ of the speed of the train.

$60 = \dfrac{3}{4} \times$60=43​× Speed of train

Speed of train $= 60 \times \dfrac{4}{3}$=60×34​

Speed of train $= \dfrac{240}{3}$=3240​

Speed of train $= 80$=80 km/h

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The ratio of speeds of train and car is 16:15.

Train : Car $= 16 : 15$=16:15

$$\dfrac{\text{Train speed}}{\text{Car speed}} = \dfrac{16}{15}$$Car speedTrain speed​=1516​

$$\dfrac{80}{\text{Car speed}} = \dfrac{16}{15}$$Car speed80​=1516​

Car speed $= 80 \times \dfrac{15}{16}$=80×1615​

Car speed $= 5 \times 15$=5×15

Car speed $= 75$=75 km/h

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Distance covered by the car in 6 hours:

Distance $= \text{Speed} \times \text{Time}$=Speed×Time

Distance $= 75 \times 6$=75×6

Distance $= 450$=450 km

Therefore, the distance covered by the car in 6 hours is 450 km.