Question

A train leaves delhi at 10


a.m. and reaches jaipur at 4 p.m. on same day. another train leaves jaipur at 12 p.m. and reaches delhi at 5 p.m. on same day. what is the time of day (approximately) when the two trains will meet?

Answer 1

1:49 pm they will be meet

Answer 2

Answer:1:27 p.m.

Step-by-step explanation:

let distance between delhi and ajaipur is d and after 't' hours of jaipur train started train meet each other.

speed of train from delhi to jaipur (A) = d/ 6 km per hour

speed of train from jaipur to delhi (B) = d/ 5 km per hour

as train A started journey 2 hours before then it will travel d/3 km. to meet both the train their traveled distance must be equal to total distance d.

$\frac{d}{3}+\frac{d}{6}*t+\frac{d}{5}*t = d\\\\\frac{1}{3}+\frac{1}{6}*t+\frac{1}{5}*t =1\\\\\frac{t}{6}+\frac{t}{5} =1-\frac{1}{3}\\\\\frac{5t+6t}{30}=\frac{3-1}{3}\\\\\frac{11t}{30}=\frac{2}{3}\\\\t=\frac{20}{11}\\\\t=1\tfrac{9}{20}$

so after 1 hour 27 minute of starting train from jaipur both the train will meet each other.

it means time is 1:27 p.m.