Question

Esther cycles 70 miles over 4 days.

On day 1 she cycles 14 miles.
On day 2 she cycles 32 km.
On day 4 she cycles twice as far as she does on day 3
How far does she cycle on day 4?
Give units with your answer.

Answer 1

After converting day 2's distance from kilometers to miles, subtracting the known distances from the total, and using the given relationship between day 3 and day 4 distances, we find that Esther cycles 24.08 miles on day 4.

Step-by-step explanation:

The question requires solving for the distance Esther cycles on day 4. We know the total distance cycled over 4 days is 70 miles, and the distances cycled on day 1 and day 2 are 14 miles and 32 kilometers respectively. Since 1 mile is approximately 1.60934 kilometers, we first convert 32 kilometers to miles: 32 km * (1 mile / 1.60934 km) = 19.88 miles (approximately). We then calculate the total miles cycled on days 1 and 2, which is 14 miles + 19.88 miles = 33.88 miles. By subtracting this from the total distance (70 miles), we find the combined distance cycled on days 3 and 4: 70 miles - 33.88 miles = 36.12 miles. Given Esther cycles twice as far on day 4 as on day 3, we can write this as 3 times the distance on day 3 equals 36.12 miles. Finally, dividing 36.12 miles by 3 gives us the distance cycled on day 3, which is 12.04 miles. Therefore, the distance cycled on day 4, which is twice that, is 24.08 miles.

Answer 2

16

Step-by-step explanation:

70 - 14 - 32 = 24 (Which is the amount of miles she cycled on both Day 3 and 4)

x + x*2 = 24

8 + 8*2 = 24

8 + 16 = 24

Therefore, she cycles 24 miles on Day 4.