A train travels 360 km at the uniform speed . If the speed had been 5km/h more , would have taken 1 hr less for thes same journey .Find the speed of the train .
Answers
Answer:
40 km/hr
Step-by-step explanation:
Distance traveled by train = 360 km.
(i)
Let the speed of the train be 'x' km/hr.
We know that Speed = Distance/Time
= 360/x.
(ii)
Given that Speed of the train is increased by 5 km/hr.
Increased speed = (x + 5) km/hr.
Speed = 360/x + 5.
Given that Time taken is 1 hour less when compared to the previous time.
⇒ (360/x) - (360/x + 5) = 1
⇒ 360(x + 5) - 360x = x(x + 5)
⇒ 360x + 1800 - 360x = x² + 5x
⇒ 1800 = x² + 5x
⇒ x² + 5x - 1800 = 0
⇒ x² + 45x - 40x - 1800 = 0
⇒ x(x + 45) - 40(x + 45) = 0
⇒ (x - 40)(x + 45) = 0
⇒ x = 40, -45.
Since, Speed is a non-negative term, therefore x ≠ -45.
⇒ x = 40.
Therefore, Speed of the train = 40 km/hr.
Hope it helps!
Answer:
40
Step-by-step explanation:
If train travel at a speed of 40 km/h then it takes 9 hour for complete 360 km. Now if u increased speed 5km/h more. Then its take 8 hour for complete 360 km. As your quiestion it would have taken 1 hour less to complete the same journey.
360km÷40km/h=9hour.
360km÷(40+5)km/h=8hour.
So the answer is 40 km/h.