# A train which is moving at an average speed of 40 km/h reaches its destination on time. When its average speed reduces to 35 km/h, then it reaches its destination 15 minutes late. The distance traveled by the train is?

A. 70 km

B. 80 km

C. 40 km

D. 30 km

**Answer: Option A **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{Average speed of train}} \cr
& {\text{ = 40 km/hr}} \cr
& {\text{Reach at its destination at on time }} \cr
& {\text{New average speed of train}} \cr
& {\text{ = 35 km/h}} \cr
& {\text{Time = 15 minutes}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = }}\frac{{15}}{{60}}{\text{hours }} \cr
& {\text{Then distance travelled}} \cr
& {\text{ = }}\frac{{40 \times 35}}{{40 - 35}}{\text{ }} \times \frac{{15}}{{60}} \cr
& {\text{ = }}\frac{{40 \times 35}}{5}{\text{ }} \times \frac{{15}}{{60}} \cr
& {\text{ = 70}}\,{\text{km}} \cr} $$ Related Questions on Problems on Trains

A. 120 metres

B. 180 metres

C. 324 metres

D. 150 metres

A. 45 km/hr

B. 50 km/hr

C. 54 km/hr

D. 55 km/hr

A. 200 m

B. 225 m

C. 245 m

D. 250 m

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