If a certain computer is capable of printing 4900 credit card bills per hour,…
2024
If a certain computer is capable of printing 4900 credit card bills per hour, while a new model is capable of printing at a rate of 6600 per hour, then odd model will take approximately how much longer than the new model to print 10000 bills ?
- A.
28 (1/2) minutes
- B.
35 minutes
- C.
31 (1/2) minutes
- D.
26 minutes
Attempted by 11 students.
Show answer & explanation
Correct answer: C
Answer: 31 1/2 minutes
Compute time taken by the old model to print 10000 bills: 10000/4900 = 100/49 hours (≈ 2.0408 hours ≈ 122.45 minutes).
Compute time taken by the new model to print 10000 bills: 10000/6600 = 100/66 hours (≈ 1.5152 hours ≈ 90.91 minutes).
Find the difference in hours: 100/49 − 100/66 = 100*(66−49)/(49*66) = 1700/3234 = 850/1617 hours.
Convert the difference to minutes: 60 * (850/1617) ≈ 31.5 minutes, i.e. 31 1/2 minutes.
Therefore, the older model takes approximately 31 1/2 minutes longer to print 10000 bills.