Question

A train X starts from Meerut at 4 p.m. and reaches Ghaziabad at 6 p.m. while another train Y start from Ghaziabad at 4pm, and reaches Meerut at 5.30 p.m. The two trains will cross each other at

Answer 1

Ans: 4:36 pm

Let the distance between Meerut and Ghaziabad be dd km

First train covers distance dd km in 1 hr

Speed of the first train =d1=d=d1=d km/hr


Second train covers distance dd km in 112=32112=32 hr

Speed of the second train =d(32)=2d3=d(32)=2d3 km/hr

Let the trains meet xx hours after 4 pm

Distance travelled by first train in xx hours =x×d=x×d km
Distance travelled by second train in xx hours =x×2d3=x×2d3 km

Sum of these distances must be the total distance between Meerut and Ghaziabad 
x×d+x×2d3=dx+2x3=15x3=1x=35hr=36 minx×d+x×2d3=dx+2x3=15x3=1x=35hr=36 min