Question

A goods train leaves a station at a certain time and at a fixed speed. After $6$ hours an express train leaves the same station and moves in the same direction at a uniform speed of $90$ kmph. This train catches up the goods train in $4$ hours. Find the speed of the goods train.

• A. $50$ kmph
• B. $40$ kmph
• C. $36$ kmph
• D. $30$ kmph

Answer 1

The correct option is C $36$ kmph

Let the speed of the goods train be $xkmph$
Distance covered by goods train in 10 hours = Distance covered by express train in 4 hours
$10x=4\times 90$
$10x=360$
$x=36$
So, speed of goods train $=36kmph$