Question

if a cyclist had gone 3km/hr faster he would have taken 1hr 20 min less to ride a distance of 80 kms find the speed of the cycle and time consumed by him to cover the distance of 80 km​

Answer 1

Answer:12 km and 6 hr. 40min.

Step-by-step explanation:

Let the speed be x km/hr.

And time taken to cover 80 km be y hours.

Here S and T denotes the original speed and time .

While s and t denote the imagined speed and time.

A.T.Q

S*T=s*t

x*y=(x+3)*(y-4/3)

xy=xy-(4x/3)+3y-4

xy=(3xy-4x+9y-12)/3

3xy=3xy-4x+9y-12

3xy-3xy=4x-9y+12

0=4x-9y+12

And from this position by hit and trial method me can get the speed as 12 km/hr and time as 6 hour 40 minutes. Or 20/3 hour.

PROVE

80=12*20/3

80=80

80=(12+3)*(20/3-4/3)

80=15*16/3

80=5*16

80=80

Answer 2

Step-by-step explanation:

Hope you understand better!!