Arithmetic

Time, Speed & Distance

Medium

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:

450 km

480 km

360 km

540 km

✅ Correct Option: 1

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

Speed of bus $= \dfrac{480}{8}$

Speed of bus $= 60$ km/h

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

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

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

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

Speed of train $= 80$ km/h

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

Train : Car $= 16 : 15$

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

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

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

Car speed $= 5 \times 15$

Car speed $= 75$ km/h

Distance covered by the car in 6 hours:

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

Distance $= 75 \times 6$

Distance $= 450$ km

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

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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:

Solution

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