Question

which ratio could be used to solve the following problem? ken drives his car 800 miles in 3 days, how far will he drive in 5 days?

Answer 1

Ratio: 800:3 and 1333.35:5

Solved: 1333.35 miles

Explanation:

Given: 800 miles in 3 days

To find: How far will he drive his car in 5 days?

Solution: If Ken drives his car 800 miles in 3 days, to find how many miles it will take him at the same rate, we need to divide 800 miles by 3 days

`800` ÷
`3 = 266.666666667`

Simplified

`266.67`

Now that has been figured out, we need to multiply the result by the 5 days it will take Ken.

`266.67` ×
`5 = 1333.35`

Hence, At the rate of 800 miles in 3 days, Ken will drive 1333.35 miles in 5 days.

Therefore, the ratio that could be used to solve the problem is 800:3 and 1333.35:5

Answer 2

1333.333 miles

Explanation:

Let x = distance covered in 1 day.

Given the following data;

Distance = 800 miles

Time = 3 days

In 1 day he would cover;

1 day = x miles

3 day = 800 miles

800 = 3x

x = 800/3

x = 266. 667

In 5 days;

5x = 5 * 266.667 = 1333.333 miles

Or

Let x = distance in 5 days.

Distance in miles = time in days

800 miles = 3 days

x miles = 5 days

Cross multiplying, we have;

3x = 800 * 5

x = 4000/3

x = 1333.333 miles

Therefore, in 5 days Ken would drive 1333.333 miles.