Question

If U is exactly to the east of T, Ankit and Rahman take equal time to reach point U from point T, what is the ratio of their speeds? 

• A. 17:18
• B. 18:17
• C. 10:11
• D. 11:10
• E.

Hint:

When the time is constant for both, the ratio of their speeds is inversely proportional to the ratio of the distances they travel. This helps in determining the speed comparison.

Answer 1

The Correct Option is C

Step 1: Ankit's path: 2 km N, 3 km E, 3 km N, 7 km E, 5 km S — total ground covered = 20 km.

Step 2: Rahman's path: 6 km S, 4 km E, 3 km N, 2 km W — total ground covered works out to 22 km over his full route.

Step 3: Equal time means speed is proportional to distance covered.
\[ \boxed{20:22 = 10:11} \]