Perimeter of the back wheel = 9 feet, front wheel = 7 feet. Through a certain…
2023
Perimeter of the back wheel = 9 feet, front wheel = 7 feet. Through a certain distance, the front wheel gets 10 revolutions more than the back wheel. What is the distance?
Answer: D. 315 feet — Revolutions by a wheel = Distance covered / Circumference Circumference of wheel = Perimeter of wheel According to question Revolutions by front wheel -…
- A.
16 Feet
- B.
1980 Feet
- C.
63 Feet
- D.
315 feet
Attempted by 10 students.
Show answer & explanation
Correct answer: D
Revolutions by a wheel = Distance covered / Circumference
Circumference of wheel = Perimeter of wheel
According to question
Revolutions by front wheel - Revolutions by back wheel = 10
⇒ (Distance covered / Circumference of front wheel) - (Distance covered / Circumference of back wheel) = 10
⇒ (Distance Covered ) { (1 / Circumference of front wheel ) - (1 / Circumference of back wheel)} = 10
⇒ (Distance Covered ) { (1 / 7 ) - (1 / 9)} = 10
⇒ (Distance Covered ) { (2 /63 ) } = 10
⇒ (Distance Covered ) = 630 / 2 = 315
Hence Option (D)