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:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

          ( )

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

now total time t spent by the bicyclist to cover entire trip is given by

now if v=18 , we have

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

hours (approx)