Question

The ratio between the speeds of two trains is 8:9 and the second train covers 360 km in 4 hours. The distance covered by the first train in 3 hours is:

• A. 240
• B. 480
• C. 120
• D. 60

Hint:

Use ratios to relate speeds and distances. If time is constant or given separately, handle it step-by-step.

Answer 1

The Correct Option is A

Speed of second train = \( \frac{360}{4} = 90 \, \text{km/h} \)
Let the speed of first train be \( x \), and second train be \( y \)
Given \( x : y = 8 : 9 \Rightarrow \frac{x}{y} = \frac{8}{9} \Rightarrow x = \frac{8}{9} \times 90 = 80 \, \text{km/h} \)
\[ \text{Distance covered by first train in 3 hours} = 80 \times 3 = \boxed{240 \, \text{km}} \]