Civil Service Exam Reviewer · Ratio and Proportion · hard

A gear with 28 teeth rotating at 160 rpm drives a gear with 35 teeth. How fast does the second gear rotate?

  1. 200 rpm
  2. 160 rpm
  3. 153 rpm
  4. 128 rpm

Answer

D. 128 rpm

Solution

Teeth × rpm is the same for meshing gears: 28 × 160 = 35 × N → N = 128 rpm (inverse proportion).

More Ratio and Proportion questions

  1. Mila and Rina share some money in the ratio 8 : 1. Mila receives ₱5,250 more than Rina. How much money was shared?
  2. Alloy X contains gold and copper in the ratio 1 : 2; alloy Y contains them in the ratio 1 : 3. If equal weights of X and Y are melted…
  3. The ratio of the number of pupils to teachers in a school is 80 : 1. If there are 24 teachers, how many pupils must be added so that the…
  4. 8 workers can complete a job in 17 days. After working for 2 days, 3 workers leave. How many more days will the remaining workers need to…
  5. ₱15,750 is shared among A, B and C such that A : B = 1 : 4 and B : C = 1 : 5. How much does C receive?
  6. Two similar boxes have corresponding sides in the ratio 5 : 7. What is the ratio of their volumes?
  7. Alloy X contains gold and copper in the ratio 5 : 2; alloy Y contains them in the ratio 3 : 2. If equal weights of X and Y are melted…
  8. The present ages of a father and his son are in the ratio 5 : 4. 8 years ago, the ratio was 27 : 20. What is the son's present age?
  9. Two numbers are in the ratio 3 : 4. If 6 is added to each, the ratio becomes 18 : 23. What is the larger of the original numbers?
  10. The ratio of the number of pupils to teachers in a school is 90 : 1. If there are 64 teachers, how many pupils must be added so that the…

All Ratio and Proportion questions