• Problem:
A car covers a distance of 450 m in 1 minute whereas a train covers 69 km in 45 minutes. Find the ratio of their speeds.
• Solution:
Speed can be obtained by dividing the distance taken by the given time.
[tex]\begin{gathered} \tt Speed=\frac{distance}{time} \\ \end{gathered} [/tex]
[tex]\begin{gathered} \tt Speed_1=\frac{450 \: m}{1\: min} \\ \end{gathered} [/tex]
[tex]\tt Speed=450 \: \frac{m}{min} \\ [/tex]
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To get the speed of the train in which it is related to the speed of the car, let's convert kilometers to meter. Thus, 69 kilometers is equal to 69,000 meters.
[tex]\begin{gathered} \tt Speed_2=\frac{69 \: 000 \: m}{45\: min} \\ \end{gathered} [/tex]
[tex]\begin{gathered} \tt Speed_2=\frac{69 \: 000 \: m}{45\: min} \\ \end{gathered} [/tex]
[tex]\tt Speed_2 =69 \: 000 \div 45 [/tex]
[tex] \tt Speed_2 = 15 \: 333. \overline 3 \: \: \frac{m}{min} \\ [/tex]
Thus, the ratio 450 : 15,333.33.
• Answer:
The ratio is 450 : 15,333.33.
