Question

A train after travelling 150 km meets with an accident and then proceeds at $\frac{3}{5}$ 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

Answer: (B)

870 km

Answer 2

Assume the speed of the train be v km/hr and the total distance travelled by the train be d kms and the time taken to reach the destination if no accident occured is t hours.

$\frac{150}{v}$ + d-$\frac{150}{0.6v}$ = t + 8 — Equation 1

$\frac{510}{v}$ + d-$\frac{510}{0.6v}$ = t + 4 — Equation 2

After solving the above equations, we get:
After subtracting the equation 1 from equation 2 we get,
d = 870 kms
The correct option is (B)