Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

30. lewis hamilton completes a grand prix in 1 hour and 40 minutes at a…

Question

  1. lewis hamilton completes a grand prix in 1 hour and 40 minutes at an average speed of 180 kilometres per hour. what is the total distance lewis drives in the grand prix, presuming of course that he finishes!

Explanation:

Step1: Convert time to hours

1 hour and 40 minutes. 40 minutes is $\frac{40}{60}=\frac{2}{3}$ hours. So total time $t = 1+\frac{2}{3}=\frac{3 + 2}{3}=\frac{5}{3}$ hours.

Step2: Use distance formula $d=v\times t$

Given speed $v = 180$ km/h and time $t=\frac{5}{3}$ h. So distance $d=180\times\frac{5}{3}$.
Calculate $180\div3 = 60$, then $60\times5=300$.

Answer:

300 kilometres