Question

a road crew can pave 2/5 km of road in 1 1/2 are how many kilometres of road can they pave in 10 hours​

Answer 1

8/3 km

Step-by-step explanation:

we can represent the given information on a table:

Kilometers        time (hours)

     2/5           ⇔         1 1/2

and since we want to know how many kilometers (x) will be paved on 10 hours:

Kilometers        time (hours)

     2/5           ⇔         1 1/2

       x             ⇔         10

The relationship these 3 numbers have can be described by using the rule of three, which is to multiply the cross quantities on the table (2/5 by 10) and then divide by the remaining amount (1 1/2):

x = \frac{2}{5}*10 ÷ 1\frac{1}{2}

x = \frac{20}{5} ÷ 1\frac{1}{2}

we use 1\frac{1}{2}=\frac{3}{2}

x = \frac{20}{5} ÷ \frac{3}{2}

and we make the division:

x = \frac{20}{5} ÷ \frac{3}{2} = \frac{20*2}{5*3}=\frac{40}{15}

we simplify the fraction by dividing the numerator and denominator both by 5, and we get the result:

x = \frac{8}{3}

thus, in 10 hours the crew will pave 8/3 km. Which is about 2.66 km.

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