Question

The given table shows the distance covered and the time taken by a train moving at a uniform speed along a straight track:

Distance (in m)	60	90	y
Time (in sec)	2	x	5

The values of x and y are:

Options

• x = 4, y = 150

• x = 3, y = 100

• x = 4, y = 100

• x = 3, y = 150

Answer 1

x = 3, y = 150

Explanation:

It is a directional change.

If the speed is uniform, the moving distance covered will be larger than the time taken then,

`\implies 60/2 = 90/x = y/5`

`\implies` x = `(90 xx 2)/60` and y = `(60 xx 5)/2`

x = `180/60` and y = `300/2`

∴ x = 3 and y = 150