Question

How do you convert 36 cm/sec to mph?

Answer 1

Hint: Centimeter is a very small measurement of distance when compared to a mile and at the same time second is a very small measurement of time when compared to an hour. We have to use simple mathematical operations to convert a second per second to a mile per hour. In these types of questions, calculation mistakes are very common.

Complete step by step solution:
According to the question we have to convert 36cm/sec to mph,
And as we know that one hour = $60\times 60$ seconds = $3600$ seconds
And we also know that one mile = 160934 centimeter
Now, we have to convert centimeter into mile
$\Rightarrow$ $160934$ cm = $1$ mile
$\Rightarrow$ $1$cm = ${\displaystyle \frac{1}{160934}}$ mile (Dividing both sides with 160934)
$\Rightarrow$ 36cm = $36\times {\displaystyle \frac{1}{160934}}$ mile (Multiply both sides with36)
$\Rightarrow$ 36cm = $0.00022$ mile (consider it equation 1)
Now, we have to convert second into hours
$\Rightarrow$ $1$Hour = $3600$ seconds
$\Rightarrow$$1$ Second = ${\displaystyle \frac{1}{3600}}$Hour (Dividing both sides with 3600)
$\Rightarrow$$1$ Second = 0.00027 (Consider it as equation 2)
Now, to get the answer just divide equation 1 with equation 2
${\displaystyle \frac{0.00022}{0.00027}}$ = $0.8$ mph
Hence, this is our answer

Note: It is very efficient to calculate speed in different units of measurements. Representing the same measurement using different units varies from place to place. We can observe that when we convert a larger unit to a comparative lower unit the numerical value gets increased as compared to the original numerical value and when we convert a lower unit to a comparative larger unit the numerical value gets reduced. This property is shown in this question.