A train travels 360 km at a uniform speed. If the speed had been 5 km / hr more, it would have taken 1 hour less for the same journey. Find the speed of the train.

Question

Philoid · Accepted Answer

Time = distance/speed

Given, train travels 360 km at a uniform speed. If the speed had been 5 km / hr more, it would have taken 1 hour less for the same journey.

Let the usual speed be ‘a’.

⇒ 360 ×(a + 5 –a) = a² + 5a

⇒ a² + 5a – 1800 = 0

⇒ a² + 45a – 40a – 1800 = 0

⇒ a(a + 45) – 40(a + 45) = 0

⇒ (a + 45)(a – 40) = 0

⇒ a = 40 km/hr