Bob is hiking down a 60-mile country trail. he could hike at 10 mph for the first two hours and then go the rest of the way at 30 mph or he could just go the whole way at 20 mph. how long would each of these options take? which option is the faster?

The above diagram gives us a pictorial view of the two options.

With the first option the hiking has two stages

Stage 1

Hike for

for


The distance covered in this stage 1 can be determined using the formula,



Stage 2

At this stage,the remaining distance to be covered


We can again calculate the time take to cover this distance using



The total time taken for this option



OPTION 2

For this option, the hiker goes 30mph throughout the whole journey for



For the first option, it took the hiker 3⅓ hours but for the second option, it took him 2 hours.