UPSC CDS Math Speed, Time and Distance Questions

Let the distance between his school and house be d km.
Time taken by the boy to go from his house to school + Time taken by the boy to go from his school to house = 50 minutes
∴

d

12

+

d

8

=

50

60

(Time=

Distance

Speed

)
⇒

5d

24

=

5

6

⇒d=4km
Therefore, total distance walked by the boy = 2d = 8 km