The ratio of speeds of a train and a car is 16:15, respectively and a bus covered a distance of 480 km in 8 h. The speed of the bus is 3/4th of the speed of train. What distance will be covered by car in 6 h?


A) 450 km

B) 480 km

C) 360 km

D) Couldn't be determined

Correct Answer:
A) 450 km

Description for Correct answer:

Let speed of train = 16x

Speed of car = 15x

Speed of bus = \( \Large \frac{480}{8} = 60 km/h \)

According to the question,

\( \Large 16x = 60 \times \frac{4}{3} = 80 \)

x = 5

Speed of car = \( \Large 15x = 15 \times 5 = 75 km/h \)

Required distance = \( \Large Speed \times Time \) = \( \Large 75 \times 6 = 450 km \)


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