Verified answer

Answer:

Sb = 40 kph

Sc = 100 kph

Step-by-step explanation:

Let Sc speed of the car

Let Sb speed of the bike

The formula for speed is

s =d/t

Solving for t

A car travels 50 km at the same time, a bike travels 20 km

Time of the car is equal to the time of the bike.

Tcar = Tbike

If the car's speed is 60 km/h faster than the bike,

Sc = Sb + 60

Substituting the values of   to

Therefore the speed of the bike is 40 kph

Finding the speed of the car by substituting the speed of the bike to Sc = Sb + 60

Sc = 40 + 60

Sc = 100 kph

The speed of the car therefore is 100 kph

Checking:

t = d/s

The time of the car to travel 50 km with a speed of 100 kph

t = 50/100 = 0.5 hours

The time of the bike to travel 20 km with a speed of 40 kph

t = 20/40 = 0.5 hours

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