Question

convert each of the following speeds into km/hr:
1. 7.5 m/ sec
ans= 27 km/ hr
2. 1 m/ sec
ans=
$3 \frac{3}{5}$
plz tell the statement properly​

Answer 1

$\huge{\pink{\underline{\underline{Answer:-}}}}$

Solution:

1) 7.5 m/ sec

---> 1000m = 1 km

1000m = 1 km1 m = 1/1000 km

----> 1 hr = 60 × 60 = 3600 secs

3600 seconds = 1 hr

3600 seconds = 1 hr1 sec = 1/3600 hr

While we convert metre to kilometer we have to divide by 1000

Seconds to hours we have to divide by 3600

$\\ \\ 7.5 \: \dfrac{m}{sec} \\ \\ = 7.5 \times \dfrac{ \dfrac{1}{1000} km}{\dfrac{1}{3600}hr } \\ \\ = 7.5 \times \dfrac{1}{1000} \times \dfrac{3600}{1}$

$\\ \\ = 7.5 \times \dfrac{1}{10} \times 36 \\ \\ = \dfrac{75 \times 36}{100} \\ \\ = 27 \: \dfrac{km}{hr}$

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2) 1 m/ sec

$\\ \\ 1 \dfrac{metre}{sec} \\ \\ = 1\times \dfrac{1}{1000} \times \dfrac{3600}{1} \\ \\ = 3.6 \: \dfrac{km}{hr}$

Knowledge booster:

# While solving for unit conversion take care where to do division and multiplication for conversion

Example : 1 metre to kilometre

1000 m = 1 km

1 m = 1/1000 km

Example: 10 metre to centimeter

1 m = 100 cm

10 m = 10 × 100 = 1000 cm

______________________________________

# While converting smaller unit to larger unit do division and from larger to smaller do multiplication

Example: 5 m to kilometre

= 5/1000 = 0.005 km

Example: 50 m to cm

= 50 × 100 = 5000 cm

_____________________________________

# Solve more such unit conversion questions to get good hold on it

Answer 2

Answer:

Solution:

1) 7.5 m/ sec

---> 1000m = 1 km

1000m = 1 km1 m = 1/1000 km

----> 1 hr = 60 × 60 = 3600 secs

3600 seconds = 1 hr

3600 seconds = 1 hr1 sec = 1/3600 hr

While we convert metre to kilometer we have to divide by 1000

Seconds to hours we have to divide by 3600

\begin{gathered} \\ \\ 7.5 \: \dfrac{m}{sec} \\ \\ = 7.5 \times \dfrac{ \dfrac{1}{1000} km}{\dfrac{1}{3600}hr } \\ \\ = 7.5 \times \dfrac{1}{1000} \times \dfrac{3600}{1} \end{gathered}

7.5

sec

m

=7.5×

3600

1

hr

1000

1

km

=7.5×

1000

1

×

1

3600

\begin{gathered} \\ \\ = 7.5 \times \dfrac{1}{10} \times 36 \\ \\ = \dfrac{75 \times 36}{100} \\ \\ = 27 \: \dfrac{km}{hr} \end{gathered}

=7.5×

10

1

×36

=

100

75×36

=27

hr

km

__________________________________________________

2) 1 m/ sec

\begin{gathered} \\ \\ 1 \dfrac{metre}{sec} \\ \\ = 1\times \dfrac{1}{1000} \times \dfrac{3600}{1} \\ \\ = 3.6 \: \dfrac{km}{hr} \end{gathered}

1

sec

metre

=1×

1000

1

×

1

3600

=3.6

hr

km

Knowledge booster:

# While solving for unit conversion take care where to do division and multiplication for conversion

Example : 1 metre to kilometre

1000 m = 1 km

1 m = 1/1000 km

Example: 10 metre to centimeter

1 m = 100 cm

10 m = 10 × 100 = 1000 cm

______________________________________

# While converting smaller unit to larger unit do division and from larger to smaller do multiplication

Example: 5 m to kilometre

= 5/1000 = 0.005 km

Example: 50 m to cm

= 50 × 100 = 5000 cm

_____________________________________

# Solve more such unit conversion questions to get good hold on it