arithmetic - a and b are two stations 540 km apart a train starts from a at 830 am and travels towards b at 72 kmhr another train starts from b at 930 am and travels towards a at 45 kmhr at what time do they meet - skillgun

Solution: Suppose they meet x hours after 8.30 A.M. then,
(Distance covered by first train in x hrs)+(Distance covered by second train in (x-1) hrs) = 540.
.'. 72x + 45(x - 1) = 540
=> 117x = 585
=> x = 5.
So, they will meet 5 hrs after 8.30 A.M. i.e., at 1.30 P.M.