A train travels 360 km at a uniform speed
Asked by admin @ in Math viewed by 392 People
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
Answered by admin @
Let the original speed of the train be x km/h.
Time taken to cover a distance of 360 km = 360/x hours.
New speed of the train = (x+5) km/h.
Time taken to cover a distance of 360 km at new speed = 360/x+5 hours.
Since, the train takes 1 hour less time,
∴ 360/x - 360/ x+5 = 1
⇒360 (x+5-x)/x(x+5) = 1
⇒360 (5) = x² + 5x
⇒1800 = x² + 5x
⇒x² + 5x - 1800 = 0
⇒x² + 45x - 40x - 1800 = 0
⇒x (x+45) - 40( x +45) = 0
⇒(x+45) (x-40) = 0
⇒x = (-45), 40
But since speed cannot be in negative.
∴ x = 40 km/hr.
Hence, the original speed of the train is 40 km/h.
Similar Questions
A train travels 180 km at a uniform speed
Asked by admin @ in Math viewed by 323 persons
A train travels 180km at a uniform speed. If the speed had been 9km/hr more, it would have taken 1 hour less for the same journey. Find the speed of …
A train travelling at a uniform speed for 360
Asked by admin @ in Math viewed by 296 persons
A train,travelling at a uniform speed for 360km,would have taken 48minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the …
A car travels 30 km at a uniform speed
Asked by admin @ in Physics viewed by 342 persons
A car travels 30 km at a uniform speed of 40 km per hour and the next 30 km at a uniform speed of 20km per hour find its average …
A train travels a distance of 360 km
Asked by admin @ in Math viewed by 330 persons
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the …
A train travels at a certain average speed
Asked by admin @ in Math viewed by 321 persons
a train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr …
A train travels a distance of 480 km
Asked by admin @ in Math viewed by 310 persons
A train travels a distance of 480 km at a uniform speed if the speed had been 8 km per hour less then it would have taken 3 hours more …
A train covered a certain distance at uniform speed
Asked by admin @ in Math viewed by 320 persons
A train covered a certain distance at a uniform speed . if the train would have been 10 km / hr faster , if would have taken 2 hours less …
If a train is traveling at 72 km h
Asked by admin @ in Physics viewed by 349 persons
if a train travelling at 72 km/h is to be brought to rest in a distance of 200 m then its retardation should be?
A train travelling at a speed of 90km h
Asked by admin @ in Physics viewed by 322 persons
a train travelling at a speed of 90 km per hour. the brakes are applied so as to produce a uniform acceleration of minus 0.5 m/s² find how far does …
A train covered a distance at a uniform speed
Asked by admin @ in Math viewed by 363 persons
A train covered a certain distance at a uniform speed . if the train would have been 10 km / hr faster , if would have taken 2 hours less …
A train is travelling at a speed of 90
Asked by admin @ in Physics viewed by 296 persons
A train is travelling at a speed of 90 km/h brakes are applied so as to produce a uniform acceleration of -0.5 m s-2 find how far the train will …
A car traveling with constant speed travels 150 km in 7200 s. what is the speed of the car?
Asked by maham237 @ in Physics viewed by 490 persons
Express the speed to two significant figures and include the appropriate units
Change the speed 6m s into km hr
Asked by admin @ in Physics viewed by 307 persons
Change the speed of 6m/s into km/h?
A bus decreases its speed from 80 km
Asked by admin @ in Physics viewed by 311 persons
A bus decreases its speed from 80 km per hour from 60 km per hour in 5 seconds calculate the acceleration of the bus
A train running at the speed of 60
Asked by admin @ in Math viewed by 298 persons
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.120 metresB.180 metresC.324 metresD.150 metres
Most viewed questions in Math
Prachi excellence in mathematics class 7 solutions pdf free download
Asked by admin @ in Math viewed by 12035 persons
Oxford new enjoying mathematics class 7 solutions chapter 1
Asked by admin @ in Math viewed by 11518 persons
Survey of various types of bank accounts icse project
Asked by admin @ in Math viewed by 11508 persons
Rahul went to his mother's mother in law
Asked by admin @ in Math viewed by 4179 persons