Question

Can anyone solve que 8 its urgent for me plz ...

Answer 1

Answer:

32 km/hr, 48 km/hr

Step-by-step explanation:

Let the speed of the passenger train be x km/hr.

Total distance covered = 192 km.

Speed of the mail train = (x + 16) km/hr.

Time taken by mail train = 192/(x + 16)

Time taken by passenger train = 192/x

Given that mail train takes 2 hours less than that of passenger train.

⇒ (192/x) - (192/x + 16) = 2

⇒ 192(x + 16) - 192x = 2(x)(x + 16)

⇒ 192x + 3072 - 192x = 2(x² + 16x)

⇒ 3072 = 2x² + 32x

⇒ 2x² + 32x - 3072 = 0

⇒ x² + 16x - 1536 = 0

⇒ x² + 48x - 32x - 1536 = 0

⇒ x(x + 48) - 32(x + 48) = 0

⇒ (x - 32)(x + 48) = 0

⇒ x = 32,-48

Since,x cannot be negative. So, x≠ -48.

⇒ x = 32.

Therefore,

Speed of the passenger train = 32 km/hr.

Speed of the mail train = 48 km/hr.

Hope it helps!