Question

Trent hikes up a hill at 4 km/h. He hikes back down at 6 km/h. The hiking trip took 3 hours. How much time did it take Trent to hike up the hill? Write an equation you can use to solve for t, the time it took him to climb up the hill

Answer 1

The time it took him to climb up the hill is 1.8 hours.

Explanation:

Here, t represents the the time it took him to climb up the hill,

Total time taken by it = 3 hours,

Thus, the time taken by it to climb down the hill = ( 3 - t ) hours.

Since, Trent hikes up a hill at 4 km/h,

⇒ Total distance covered by it to climb up = 4 t (Distance = Speed × Time)

Since, Trent go down a hill at 6 km/h,

⇒ Total distance covered by it to go down = 6(3-t)

We know that,

Total distance covered by it to climb up = Total distance covered by it to go down

⇒ 4t = 6(3-t)

Which is the required equation.

⇒ 4t = 18 - 6t

⇒ 10 t = 18

⇒ t = 1.8

Hence, the time it took him to climb up the hill is 1.8 hours.

Answer 2

t = time to hike up the hill

3-t is the time to hike down the hill

so 4t = 6(3-t)

4t = 18-6t

10t = 18

t = 18/10 = 1.8 hours to hike up the hill

1.8 hours = 1 hour 48 minutes