Respuesta :
Answer:
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 = [tex]\frac{2}{5}*10[/tex] ÷ [tex]1\frac{1}{2}[/tex]
x = [tex]\frac{20}{5}[/tex] ÷ [tex]1\frac{1}{2}[/tex]
we use [tex]1\frac{1}{2}=\frac{3}{2}[/tex]
x = [tex]\frac{20}{5}[/tex] ÷ [tex]\frac{3}{2}[/tex]
and we make the division:
x = [tex]\frac{20}{5}[/tex] ÷ [tex]\frac{3}{2}[/tex] = [tex]\frac{20*2}{5*3}=\frac{40}{15}[/tex]
we simplify the fraction by dividing the numerator and denominator both by 5, and we get the result:
x = [tex]\frac{8}{3}[/tex]
thus, in 10 hours the crew will pave 8/3 km. Which is about 2.66 km.
