An express train travelled at an average speed of 100 km / hr, stopping for 3 minutes after 75 km. A local train travelled at a speed of 50 km/hr, stopping for 1 minute after every 25 km. If the trains began travelling at the same time, how many kms did the local train travel in the time it took the express train to travel 600 km?
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Let the distance covered by Ashish before meeting be d1and the distance covered by Bali before meeting be d2Now when they meet:−Let x be the time when they meetNow, Distance travelled by Ashish d1=36xDistance travelled by Bali d2=45xThus total time taken by Ashish=total dist.speed=d1+d2s=36x+45x36=81x36=9x4Now, it is given that Ashish takes 5 hrs more to reach at Q∴9x4−x=5⇒9x−4x4=5⇒5x4=5⇒x=4Now total time taken by Bali=36x+45x45=81x45=9x5Time taken by Bali to reach P after meeting =9x5−x=9x−5x5=4x5=165=315Thus option B is answer.
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