question_answer 1)

Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar. TIPS Firstly, find the speed of Hamid and Akhtar separately by using the formula, Speed \[\text{=}\frac{\text{Distance}}{\text{Time}}\text{,}\]then find required ratio by dividing speed of Hamid by speed of Akhtar.

Answer:

                Given, speed of Hamid \[\text{=}\frac{\text{Distance}}{\text{Time}}=\frac{9}{1}=9\text{km/h}\] and distance travelled by Akhtar in one hour = 12 km \[\therefore \] Speed of Akhtar \[=\frac{12}{1}=12\,km/h\] \[\therefore \] Ratio of speed of Hamid to speed of Akhtar \[\text{=}\frac{\text{Speed}\,\text{of}\,\text{Hamid}}{\text{Speed}\,\text{of}\,\text{Akhtar}}=\frac{9}{12}=\frac{9\div 3}{12\div 3}=\frac{3}{4}=3:4\] [\[\because \]HCF of 9 and 12 = 3]