Emek and Tara reached a remote canyon with 7.5 liters of water remaining. At a trail marker, they learned that hikers should plan for 2.4 liters of water for every 6 kilometers in the canyon. The direct route to the next supply station was 18 kilometers long. Tara set up the proportion 2.4/6 = x/18 and found that x = 7.2 liters. Their 7.5 liters would be enough, but only 0.3 liter would remain. A second route was safer from falling rocks but was 20 kilometers long. Emek used the same rate to calculate that this route would require 8 liters of water, which was 0.5 liter more than they carried. They checked both results against the guide's rate of 0.4 liter per kilometer. Since only the 18-kilometer route could be completed with their current supply, they chose the direct path, carefully monitored their water at each checkpoint, and reached the supply station safely.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
First find the amount of water needed for 1 kilometer, then multiply by 15.
The guide's rate is 2.4 liters of water for every 6 kilometers. How much water would Emek and Tara need for a 15-kilometer canyon route?
5.4 liters6 liters6.4 liters7.5 liters
Correct! At 0.4 liter per kilometer, a 15-kilometer route requires 6 liters.
Not quite. Find the unit rate from 2.4 liters for 6 kilometers, then apply it to 15 kilometers.
Next
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Hint
Divide the available 7.5 liters by 0.4 liter per kilometer, then choose the greatest whole number that does not exceed the result.
Using the guide's rate of 0.4 liter per kilometer, what is the greatest whole number of kilometers Emek and Tara could travel with their 7.5 liters of water without exceeding their supply?
Correct! Their water supply is enough for at most 18 whole kilometers at the given rate.
Check how many kilometers 7.5 liters can cover at 0.4 liter per kilometer, and remember that the answer must not require more water than they have.
Next
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Hint
Add the extra water to 7.5 liters, then compare the new total with the 7.2 liters and 8 liters required by the two routes.
Suppose Emek and Tara found an extra 0.6 liter of water before choosing a route. Which statement would then be correct about the 18-kilometer and 20-kilometer routes?
They would have 8.1 liters, so neither route would have enough water.They would have 8.1 liters, so only the 18-kilometer route would have enough water.They would have 8.1 liters, so both routes would have enough water, with 0.1 liter remaining after the 20-kilometer route.They would have 8.6 liters, so both routes would have enough water, with 0.6 liter remaining after the 20-kilometer route.
Correct! They would have 8.1 liters, enough for either route, and 0.1 liter would remain after the 20-kilometer route.
Not quite. First find their new water supply, then compare it with the amount required for each route.
Next
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Kanyon Geçişi İçin Malzemeler
TR
ARC_G09_FRD_02_STORY_01
Kanyon Geçişi İçin Malzemeler
Supplies for the Canyon Crossing
EN
ARC_G09_FRD_02_STORY_01
Supplies for the Canyon Crossing