Subject: General Aptitude · Chapter: Time and Distance · Exam: 2005 · Marks: · Difficulty:
An express train travelled at an average speed of 100 kmph, stopping for 3 minutes after 75 km. A local train travelled at a speed of 50 kmph, stopping for 1 minute after every 25 km. If the trains began travelling at the same time, how many kilometres did the local train travel in the time it took the express train to travel 600 km?
(a)287.5 km
(b)307.5 km
(c)325 km
(d)396 km
Answer
Answer (as printed): B
Explanation
Time taken by the express train to cover 600 km $$=\left(\frac{600}{100}\right) \mathrm{hrs}=6 \mathrm{hrs} .$$ Number of stoppages $=(600 \div 75)-1=7$. Duration of stoppage $=(3 \times 7) \mathrm{min}=21 \mathrm{min}$. Total time taken $=6 \mathrm{hrs} 21 \mathrm{min}$. Total time taken by local train to cover 50 km (with stoppages) $=1 \mathrm{hr} 2 \mathrm{min}$.