Question

A drawbridge rises at a constant rate. It takes 1 1/2 minutes for the drawbridge to rise 6/20 of its total height. How much time, in minutes, does it take for the drawbridge to reach its total height?

Answer 1

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— A drawbridge take 1½ minutes to rise 6/20 of its total height

Let the total height of the drawbridge is h units

→ Drawbridge rises 6h/20 units in the time = 3/2 minutes

→ Drawbridge rises 1 unit in the time = 3/2 ÷ 6h/20 minutes

→ Drawbridge rises h units in the time

= 3/2 ÷ 6h/20 h

= 3h/2 × 20/6h

= 60/12

= 5 minutes

So the answer is 5 minutes