Question

Chetak and Ashwa, two horses, start galloping from Patna to Ranchi which are 80 km apart. The speed of Chetak is 160 km/h and that of Ashwa is 150 km/h. They start galloping simultaneously from Patna to Ranchi. Chetak reached Ranchi and returned to Patna but Ashwa returned from Jamshedpur (which is somewhere between Patna and Ranchi) to Patna at the same time. What is the ratio of distances between Patna and Jamshedpur and Jamshedpur and Ranchi?

• A. 15 : 1
• B. 3 : 25
• C. 15 : 2
• D. none of these

Answer 1

The correct option is A 15 : 1

Since time taken is same for both the horses, distance ratios are same as speed ratio.
Let 'x' be the distance between Patna and Jamshedpur.
Thus, $\frac{160}{2x}=\frac{160}{150}\to x=75$

Hence, the ratio is 75 : 5 $\to$ 15 : 1