Chapter 1.3, Problem 34E

To determine

To find:when the cheetah will catch the antelope and justify whether the friend’s statement is correct or not.

Answer to Problem 34E

The friend is not correct

Explanation of Solution

Given:

A cheetah’s speed = $20$ seconds.

Cheetahruns $650$ feet behind the antelope.

Calculation:

Find when the cheetah will catch the antelope:

Let m = Number of months Define a variable.

Cheetah: $90x$ Write an expression that represents

Antelope: $60x+650$ how far each animal has ran.

  $90x=60x+650$ Set the expressions equal to each other.

  $30x=650$ Subtract $60x$ from both sides.

  $x=21\frac{2}{3}$ Divide both sides by $30$ .

No, the friend is not correct. It will take the cheetah longer than $20$ seconds to catch the antelope, so the antelope will be safe.

Conclusion:

Hence, the friend is not correct