Question

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.

Answer 1

Answer:

Estimated Answer=$\frac{1}{2} hour$

Exact Answer= $\frac{49}{101} hr$

Step-by-step explanation:

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

Distance to be Covered=4 and nine tenths km =$4\frac{9}{10}$ km

To the nearest integer,

Steady speed of the object = 10 km/hr

Distance=5km

$Time Taken = \frac{Distance}{Average Speed}$

=$=\frac{5}{10} =\frac{1}{2} hr$

The estimated answer is 1/2 hr.

Next, we determine the exact answer.

$Time Taken = \frac{Distance}{Average Speed}\\ = 4\frac{9}{10} \div 10\frac{1}{10}\\=\frac{49}{10} \div \frac{101}{10}\\=\frac{49}{10} X \frac{10}{101}\\=\frac{49}{101} hr$

The exact time taken is $\frac{49}{101} hr$