document.write( "Question 681848: Two stations A and B on a railway line are 144 kilometers apart. A fast train starts from B at 9 a.m., another fast train travelling at the same speed starts from A at 10 a.m. A slow train starts from B at 10:20 a.m., the fast train A meets the other fast train at 11:30 a.m., and the slow train at 12:32 p.m. When does the slow train reach A? \n" ); document.write( "
Algebra.Com's Answer #422826 by sachi(548)![]() ![]() You can put this solution on YOUR website! ans : \n" ); document.write( "Two stations A and B on a railway line are 144 kilometers apart \n" ); document.write( "both the fast trains travel at same speed say s km/hr towards each other \n" ); document.write( "& met at 11:30 a.m i.e after 2hrs 30 mins =2.5 hr \n" ); document.write( "so the distance travelled in 2.5hrs by both trains =2.5*2*skm=5s km (as travelling towards each other) \n" ); document.write( "so obviously 5s=144 km (as both are meeting) \n" ); document.write( "so s=144/5 km/hr=28.8 km/hr \n" ); document.write( "now let us consider the slow train which meets the fast train at 12.32 pm i.e.after 2hrs & 32 mins=2+32/60 hr=2.53 hrs \n" ); document.write( "the distance travelled by fast train in 2.53hrs=28.8*2.53=72.96=73 km (approx) \n" ); document.write( "so the dist travelled by the slow train=144-73=71 kms \n" ); document.write( "this distance was travelled by the slow train in 12.32-10.20=2hrs 12min=2.2 hrs \n" ); document.write( "now the speed of the slow train=71/2.2=32.27 km/hr \n" ); document.write( "so thetime taken by the slow train to travel 144 kms=144/32.27=4.46hrs \n" ); document.write( "=4hrs 27.7min =4hrs & 28 mins (approx) \n" ); document.write( "so the time of reaching of the slow train=10.20+4hrs 27min=14hrs & 47min \n" ); document.write( "=2.47pm \n" ); document.write( "ans\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |