A train travels 200 km in the same time that a plane covers 900 km. If the speed of the plane is 20 km per hr less than 5 times the speed of the train, find both speeds. r t d Train x 200 Plane y 900

the speed of the train is 40 km/h

the speed of the plane is 180 km/h

Step-by-step explanation:

Let x represent the speed of the train.

If the speed of the plane is 20 km per hr less than 5 times the speed of the train, it means that the speed of the plane would be (5x - 20) km/h

Time = distance/speed

The train travels 200 km. This means that the time taken to travel 200 km is

200/x

in the same time that a plane covers 900 km. This means that the time taken to travel 900 km is

900/(5x - 20)

Since the time is the same, then

200/x = 900/(5x - 20)

Cross multiplying, it becomes

200(5x - 20) = 900x

1000x - 4000 = 900x

1000x - 900x = 4000

100x = 4000

x = 4000/100

x = 40

The speed of the plane would be

5 × 40 - 20

= 180

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.