QQuestion
The following table shows the distance travelled by a train moving with uniform speed:
| Distance (m) | 60 | 90 | y |
|---|---|---|---|
| Time (s) | 2 | x | 5 |
The values of x and y are:
(a) x = 4, y = 150
(b) x = 3, y = 100
(c) x = 4, y = 100
(d) x = 3, y = 150
✓Answer
(d) x = 3, y = 150
Explanation:
The train moves with uniform speed.
Speed = \frac{\text{Distance}}{\text{Time}}
Using the first pair of values:
Speed = \frac{60}{2} = 30 m/s
For a distance of 90 m:
\frac{90}{x} = 30
⇒ 90 = 30x
⇒ x = \frac{90}{30} = 3 s
For a time of 5 s:
\frac{y}{5} = 30
⇒ y = 30 × 5
⇒ y = 150 m
Therefore, x = 3 and y = 150.
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