Question

Lucas hiked 14,300 meters in the morning. After lunch he continued hiking. When he finished the hike, he had covered 31.5 kilometers in all. Write an equation that can be used to find far Lucas hiked after lunch.

Answer 1

Lucas hiked 17,200m after lunch.

Explanation:

x = How far Lucas hiked after lunch.

Lucas hiked 14,300 meters in the morning.

x = 0

This because 14,300m was BEFORE lunch.

After lunch he continued hiking. When he finished the hike, he had covered 31.5 kilometers in all.

Total distance (31.5km) = x + 14300m

First, convert them to the same unit. 1km = 1000m. Multiply this by 31.5. 31.5km = 315000m

31500 = x + 14300

Rearrange to find x.

31500 - 14300 = x

17200 = x

Lucas hiked 17,200m after lunch.