NDA2018MathematicsDeterminantsActual
A train covers the first 5 km of its journey at a speed of 30 km / hr and the next 15 km at a speed of 45 ~km / hr . What is the average speed of the train?
Options
- A35 ~km / hr
- B37.5 ~km / hr
- C39.5 ~km / hr
- D40 ~km / hr
Correct answer
D. 40 ~km / hr
Step-by-step solution
Time taken by train to cover first 5 ~km = Distance Speed = 5 30 = 1 6 hr Time taken by train to cover next 15 ~km = 15 45 = 1 3 hr . aligned & Average speed = 5+15 1 6 + 1 3 & = 20 1+2 6 = 120 3 =40 ~km / hr aligned