Question

A train travels at a certain
average speed for a distance of 54km and then travels
at an average speed of 6 km/hr more than the first speed. If
it takes 3 hours to complete the total journey, what is its first speed?​

Answer 1

Answer:

hope you get your answer

Step-by-step explanation:

Distance =54km

Let the average speed be x

Distance =63 km

The average speed to cover this distance =x+6

Total time taken =3hr

DS=t

∴54x+63x+6=3

54(x+6)+63xx(x+6)=3

54x+324+63x=3x2+18x

=> 3x2−99x−324=0

=> x2−33x−108=0

(x−36)(x+3)=0

x=36or−3

x=−3 is not admissible

Hence x=36km/hr is the speed