Here is a classic mensuration question that you can easily answer if you had practiced **CAT previous year paper** question paper. It is about wheel revolutions and questions of this type have appeared several times in the past. A straightforward application of the formulas and some data manipulation should give the answer. Try cracking this one. If you find it hard, revisit the basics as part of your **CAT Preparation** journey.

Question 32 : The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, was

- 18π
- 16π
- 12π
- 14π

Try upto 40 hours for free

Learn from the best!

Limited Seats Available - Register Now!

Circumference of A and B are in the ratio 3: 4

So, Ratio of Distance travelled in one revolution by A and B = 3: 4

Since they travel the same distance,

Ratio of number of revolutions of A and B = 4: 3 ----- (1)

We know that each wheel of A requires 5000 more revolutions than B

So, the Ratio of number of revolutions of A and B = (n + 5000): n ------(2)

So, comparing (1) and (2)

Number of revolutions of A and B are 20000 and 15000 respectively

So, we know Bike B does 15000 revolutions in 45 minutes

Distance travelled = 2 x π x r x Number of revolutions

Speed of Bike B = mph

Speed of Bike B = 2 x x x 5 x 4 Kmph

Speed of Bike B = 16 Kmph

The question is **"The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, was" **

**Choice B** is the correct answer.

Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.

Privacy Policy | Terms & Conditions

CAT^{®} (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.

2IIM Online CAT Coaching

A Fermat Education Initiative,

58/16, Indira Gandhi Street,

Kaveri Rangan Nagar, Saligramam, Chennai 600 093

**Mobile:** (91) 99626 48484 / 94459 38484

**WhatsApp:** WhatsApp Now

**Email: **info@2iim.com