Question

A train travelling at $60$ km per hour leaves station A at $3.00$ p.m and another train leaves the same station in the same direction at $5.00$ p.m at the speed of $75$ km per hour. How many kilometers from station A will the two train be together ?

• A. $500$ km
• B. $520$ km
• C. $600$ km
• D. $720$ km

Answer 1

The correct option is C $600$ km

Distance traveled by first train that leaves station A at $3:00p.m$ till $5:00p.m$

$=$ Speed $\times$ Time $=60\times 2=120$ km.

Now, at $5p.m$ second train starts from A, so relative speed of two trains

$=75-60=15$ km per hour.

$\therefore$ Time required to cover $120$ Km distance with the relative speed of $15$ km per hour

$=\frac{120}{15}=8$ hour.

So, the required distance at which two trains will meet from station A

$=$ Speed $\times$ Time $=75\times 8=600$ km.