For the first 30 km, the bicyclist rode with a speed of v km/hour. for the remaining 17 km he rode with a speed which was 2 km/hour greater than his original speed. how much time did the bicyclist spend on the entire trip? let t be the time (in hours), and find t if: v=18

t = 2.52 hours

Step-by-step explanation:

For the first 30 km, the bicyclist rode with a speed of v km/hour.

Speed = distance/time

Time = distance/speed

Time taken to travel 30 km at a speed of v km/hour is

30/v

For the remaining 17 km he rode with a speed which was 2 km/hour greater than his original speed. This means that his speed was v + 2. Time taken to travel 17 km at a speed of v+2 km/hour is

17/(v + 2)

Let t be the time (in hours)

Total time that the cyclist spent on the entire trip would be

t = 30/v + 17/(v + 2)

To find t if v is 18, we will substitute v = 18/in the equation. It becomes

t = 30/18 + 17/(18 + 2) = 30/18 + 17/20

t = 906/360 = 2.52 hours

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (