Question

Find the distance travelled with the following pairs of monomials as their speed and time respectively:

$\left(i\right)(25a^2{b}^2,50b)$

$\left(ii\right)(12abc,23cde)$

$\left(iii\right)(5c^2{d}^2,4a^2{b}^2)$ [3 MARKS]

Answer 1

Concept: 1 Mark
Application: 2 Marks

Distance Travelled

$=Speed\times Time$

(i) Distance Travelled $=25a^2{b}^2\times 50b=1250a^2{b}^3$

(ii) Distance Travelled $=12abc\times 23cde=276ab{c}^{2}de$

(iii) Distance Travelled $=5c^2{d}^2\times 4a^2{b}^2=20a^2{b}^2{c}^2{d}^2$