Mathematics
A car covers a certain distance with uniform speed (y km/h) in x hrs. Use the following table to find the values of a, b and c.
| Speed (y km/h) | a | 60 | 150 | c |
|---|---|---|---|---|
| Time taken (x hrs) | 8 | b | 2 | 6 |
Ratio Proportion
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Answer
It is a case of inverse variation:
∴ a x 8 = 60 x b = 150 x 2 = c x 6
Taking,
a x 8 = 150 x 2
⇒ a =
⇒ a =
⇒ a = 37.5
Taking,
60 x b = 150 x 2
⇒ b =
⇒ b =
⇒ b = 5
Taking,
150 x 2 = c x 6
⇒ c =
⇒ c =
⇒ c = 50
Hence, the value of a = 37.5, b = 5 and c = 50
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