|Quantity A||Quantity B|
|No. of hours, in all they take to complete the task||6|
- A. Quantity A is greater.
- B. Quantity B is greater.
- C. The two quantities are equal.
- D. The relationship cannot be determined from the information given.
Let the total work units = 70 units
Rate of Aron = work/time =70/14=5 units per hour
Rate of Benny = work/time =70/10=7 units per hour
Aron worked for first 2 hours,
So, worked done by Aron in first 2 hours = Rate * time = 5 * 2 = 10 units
Remaining work, is 70 – 10 = 60 units
Now these 60 units, both Aron and Benny are working together.
Rate of Aron and Benny = 12 units per hour
So, time taken to complete the remaining task = work/rate=60/12=5 hours
Question has asked about how much in time in all, first 2 hours + together 5 hours. So totally 7 hours.
Quantity A is greater than B
Hence the answer is A