A bicycle covers a distance of 500 m in three minutes in a car covers a distance of 15 km in 30 minutes find the ratio of their speed .
Answers
The ratio of the speed of the bicycle to the car is 1: 3
Given:
A bicycle covers a distance of 500 m in 3 minutes
A car covers a distance of 15 km in 30 minutes
To find:
The ratio of their speed.
Solution:
Formula used:
The formula used to find the speed of any vehicle is given by
Speed = Distance ÷ Time
Given that,
A bicycle covers a distance of 500 m in 3 minutes
Here 3 minutes = 3 × 60 sec = 180 sec [ ∵ 1 min = 60 sec ]
Speed of the bicycle = 500/180
= 25 m/9 sec
Given A car covers a distance of 15 km in 30 minutes
Here 15 km = 15 × 1000 = 15000 [ ∵ 1 km = 1000 m ]
30 minutes = 30 × 60 sec = 1800
Speed of the car = 15000/1800 = 150/18 = 75 m /9 sec
By the above calculations,
The ratio of speeds = 25 m/9 sec: 75 m /9 sec
= 25/9: 75/9
= 25: 75 [ multiplied by 9 6]
= 1: 3 [ divided by 25 ]
Therefore,
The ratio of the speed of the bicycle to the car is 1: 3.
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