A bus and a car are running on parallel roads in the same direction.
The driver of the bus observes that the car coming from behind
overtakes and crosses him completely in 60 seconds. Whereas a person
in the car marks that he crosses the bus in 40 seconds. If the speeds of
bus and car is in ratio 1 : 2. Find the ratio of their lengths
Answers
Given : A bus and a car are running on parallel roads in the same direction.
The driver of the bus observes that the car coming from behind
overtakes and crosses him completely in 60 seconds. Whereas a person
in the car marks that he crosses the bus in 40 seconds. If the speeds of
bus and car is in ratio 1 : 2.
To Find : the ratio of their lengths
Solution:
Length of Bus = B m
Length of Car = C m
for Bus driver Extra Distance Covered by Car = B + C m
for Car driver Extra Distance Covered by Car = B m
Speed of Bus = x m/s and speed of Car = 2x m/s
Relative speed of car = x m/s
Extra Distance covered in 60 secs = 60x
Extra Distance covered in 40 secs = 40x
60x = B + C
40x = B => 60x = 1.5B
B + C = 1.5B
=> 0.5B = C
=> B = 2C
=> B : C = 2 :1
the ratio of their lengths = 2 : 1
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