Question

Trent hikes up a hill at 3 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

Answer:

2hrs

Step-by-step explanation:

Let x be the distance of the hill. Given he hikes at 3km/h and hikes down at 6km/h for 3 hrs, time up can be calculated as:

#Using the speed formula:

$Speed=\frac{distance}{time}\\\\d=v.t$

Let $t_1$ be time up hill, distance uphill is:

$d=v\times t\\\\=d_1=3t_1$

#Trip down is:

$d=v\times t\\\\d=6(3-t_1)\\\\#But x_1=x_2\\\\\\3t_1=6(3-t_1)\\\\3t_1=18-6t_1\\\\9t_1=18\\\\t-1=2hrs\\\\t_2=3-2=1hr$

Hence, the time uphill is 2hrs