Question

A train after travelling 150 km meets with an accident and then proceeds at 3/5 of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 km further, it would have reached the destination 4 hours late. What is the total distance travelled by the train?

• A. $960$ km
• B. $870$ km
• C. $840$ km
• D. $1100$ km

Answer 1

The correct option is

A

$870$ km

Distance $=360$ km

If x is the original speed, then difference in time $=\frac{360}{\left(3x/5\right)}-\frac{360}{x}=4$
Solving, we get $x=60$ km/hr
If T is the total hrs, then
$60T=150+60\times \frac{3}{5}\times (T+8-2.5)$
Solving, we get $T=14.5$ hrs
and distance $=60\times 14.5=870$ km