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River crossing - solve the problem

Last updated almost 5 years ago
8 questions
1

What is the length of AC in terms of x?

Using the formula for time taken for travel at a constant speed,
write down and expressionin terms of x for:
1

  • the time taken to swim from A to C.

1

  • the time taken to run from C to D.

1

Hence write down an expression for the time taken, T, to travel from A to D in terms of x.

You want to minimise this expression (find the minimum time taken).
1

Find

1

Now solve
to determine the value of x that minimises the time taken.

1

How do you know this is a valid value?

1

For this value of x, find the minimum time possible and descibe the route.