# The time required to drive a certain distance varies inversely as the speed. If it takes 4 hours to drive the distance at 40 mph, how long will it take to drive the distance at 50 mph?

It will take

You can solve this problem by using the fact that speed and time have an inverse relationship, which means that when one increases, the other decreases, and vice versa.

In other words, speed is directly proportional to the inverse of the time

You can use the rule of three to find the time needed to travel that distance at 50 mph - remember to use the inverse of time!

Now cross-multiply to get

Alternatively, you can use the fact that distance is defined as the product between speed and time

SInce the distance is the same in both cases, you can write

Once again,

By signing up, you agree to our Terms of Service and Privacy Policy

To find the time it will take to drive the distance at 50 mph, use the inverse variation formula: ( \text{time}_1 \times \text{speed}_1 = \text{time}_2 \times \text{speed}_2 ). Substitute the given values: ( 4 \times 40 = \text{time}_2 \times 50 ). Solve for ( \text{time}_2 ): ( \text{time}_2 = \frac{4 \times 40}{50} = 3.2 ) hours. So, it will take 3.2 hours to drive the distance at 50 mph.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7