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

answer: the answer is 40.82

step-by-step explanation: 3.14 x 13(or half of 26) to the power of 2