An object is traveling at a steady speed of 10 and one tenth km​/h. How long will it take the object to travel 4 and nine tenths km ​? First round to the nearest integer to find the estimated answer. Then find the exact answer.

Respuesta :

Answer:

Estimated Answer=[tex]\frac{1}{2} hour[/tex]

Exact Answer= [tex]\frac{49}{101} hr[/tex]

Step-by-step explanation:

Steady speed of the object =10 and one tenth km​/h = [tex]10\frac{1}{10} km/hr[/tex]

Distance to be Covered=4 and nine tenths km =[tex]4\frac{9}{10}[/tex] km

To the nearest integer,

Steady speed of the object = 10 km/hr

Distance=5km

[tex]Time Taken = \frac{Distance}{Average Speed}[/tex]

=[tex]=\frac{5}{10} =\frac{1}{2} hr[/tex]

The estimated answer is 1/2 hr.

Next, we determine the exact answer.

[tex]Time Taken = \frac{Distance}{Average Speed}\\ = 4\frac{9}{10} \div 10\frac{1}{10}\\=\frac{49}{10} \div \frac{101}{10}\\=\frac{49}{10} X \frac{10}{101}\\=\frac{49}{101} hr[/tex]

The exact time taken is [tex]\frac{49}{101} hr[/tex]

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