Question

A train travelling $25km$ an hour leaves Aligarh at $9a.m.$ and another train travelling $35km$ and hour starts at $2p.m.$ in the same direction. How many km from Aligarh will they be together?

• A. $750km$
• B. $437\frac{1}{2}km$
• C. $417\frac{1}{2}km$
• D. $407\frac{1}{2}km$

Answer 1

Answer: (B)

$437\frac{1}{2}km$

The train starting at $9a.m.$ has travelled by $2p.m.$ a distance of $(5\times 25)km$. i.e., $125km$.
Relative speed of two trains $=(35-25)$; i.e., $10km.$ per hour.
The second train shall meet the first train in $\frac{125}{10}$; i.e., $12.5hrs$.
Distance from $Aligarh=12.5\times 35km=437.5km$.