Question

A motorist travelled from town a to town b at an average speed of 54 kmph . On his return journey ,his average speed was 60 kmph if the total time taken is 9 whole 1 by 2 hours find the distance between the to towns

Answer 1

check solution and mark me as brainlist

Answer 2

Answer:

270 km

Step-by-step explanation:

Let x be the distance between two towns.

Speed on going = 54 km/hr

Speed on returning = 60 km/hr

Total time = $9\frac{1}{2} = \frac{19}{2}$ hours

A.T.Q

$\frac{x}{54}+\frac{x}{60}=\frac{19}{2}$

$\frac{10x+9x}{540}=\frac{19}{2}$

$\frac{19x}{540}=\frac{19}{2}$

$\frac{x}{270}=1$

$x=270$

Thus the distance between two towns is 270 km