Question

A boy takes 0.4 hours less by scooter to school than when he cycles. The distance between his school and residence is 3 km. Boy cycles at speed of "x" km/h and rides scooter at 10 km/h faster than he cycle.
find:
Expression for time taken by boy in cycling
Expression for time taken by boy in riding scooter
Speed of Cycle=_______ km/h
Speed of Scooter=_______ km/h​

Answer 1

Answer:

Speed of cycle is 5kmph and speed of scooter is 15kmph

and time of cycle is 0.6hour and time of scooter is 0.2hour

Step-by-step explanation:

Speed = Distance / Time

Cycle speed = x

Scooter speed = x+10

Distance = 3

Time on cycle = y

time on scooter = y-0.4

x=3/y

xy=3

x+10=3/y-0.4

xy-0.4x+10y-4=3

10y-0.4x=4

100y=4x+40

y=4x+40/100

x(4x+40)/100=3

4x2+40x-300=0

x2+10x-75

x2+15x-5x-75=0

(x+15)(x-5)=0

x=5

Speed of cycle is 5kmph and speed of scooter is 15kmph

and time of cycle is 0.6hour and time of scooter is 0.2hour