Three cars covered distances in the ratio 1 : 2 : 3. If the ratio of the time of their travel is 3 : 2 : 1, then the ratio of their speeds is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(1: 3 : 9\)
Speed = distance ÷ time, so the ratio of the speeds is found by dividing each distance term by the matching time term.
Speeds \(\displaystyle=\frac{1}{3}:\frac{2}{2}:\frac{3}{1}=\frac{1}{3}:1:3\)
Multiplying each term by 3: \(1:3:9\)