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The ratio of speeds of a train and a car is 16 : 15 , respectively and a bus covered a distance of 480 km in 8h. The speed of the bus is 3/4th of the speed of train. What will be covered by car in 6 h?
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- 450 km/h
- 480 km/h
- 360 km/h
- Couldn't be determined
Correct Option: A
Let speed of train = 16k
Speed of car = 15k
Speed of bus = 480/8 = 60 km/h
According to the question,
16k = 60 x 4/3 = 80
⇒ k = 5
∴ Speed of car = 15k = 15 x 5 = 75 km/h
∴ Required distance = Speed x Time
= 75 x 6 = 450 km
Comments
Ramesh Choudhary
June 21, 2018distance = speed x time
speed of bus = distance/time = 480/8 = 60 km/hr
According to question
speed of bus = (3/4) x speed of the train
speed to the train = (speed of bus x 4) / 3 = (60 x 4)/3 = 80 km/hr
According to question
(speed of the train) / (speed of the car) = 16/15
speed of the car = (speed of the train x 15) / 16 = (80 x 15)/16
car speed= 75km/hr
Now distance covered by car in 6 hrs
distance = speed x time = 75 x 6 = 450 km