Question

7. The diameter of the front wheel of a bicycle is 16
inches while the diameter of the rear wheel is 20
inches. If the front wheel has made 3000 revolutions
to travel a certain distance, how many revolutions
would the rear wheel have made?
A. 3750
B. 2400
C. 2100
D. 1800
​

Answer 1

Answer:

Rear wheel have made 2400 revolutions.

Step-by-step explanation:

Given that:

• The diameter of the front wheel of a bicycle = 16 inches
• Total revolutions made by front wheel to travel certain distance = 3000 revolutions

• The diameter of the rear wheel = 20 inches.
• Let the total revolutions made by wheel to travel certain distance be x revolutions.

Formula to find circumference of a circle:

Circumference of a circle = 2πr unit or πd unit

Where,

• r = Radius of circle
• d = Diameter of circle

Here we know that:

Distance travel by front wheel = Distance travel by rear wheel

According to the question:

→ π × 16 × 3000 = π × 20 × x [π get cancelled]

→ 20x = 48000

→ x = 48000/20

→ x = 2400

Answer 2

Given :-

Diameter of front wheel of cycle = 16 inches

Diameter of rear wheel = 20 inches

Revolution of front wheel = 3000

To Find :-

Revolution made by rear wheel

Solution :-

As we know that

Circumference = 2πr or πd

R is the Radius

D is the Diameter

π × 16 × 3000 = π × 20 × x

• Assumed revolution as x

16 × 3000 = 20 × x

48,000 = 20x

48,000/20 = x

2400 = x

Hence :-

Total revolution = 2400