Suresh and Anil are working on a special project. Suresh takes 5 hours to type 40 pages and Anil needs 6 hours to type 32 pages on a computer. How much time will it take them to type a 110-page assignment if they work on two different computers?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 8 hours 15 minutes.
Given:
Suresh takes 5 hours to type 40 pages
Anil needs 6 hours to type 32 pages
Concept used:
Total work = Efficiency × Time
Calculations:
Total work (LCM of 40 and 32) = 160 pages
Time required by Suresh = 160/40 × 5 = 20 hours
Time required by Anil = 160/32 × 6 = 30 hours
Efficiency of Suresh = 160/20 = 8 pages/hour
Efficiency of Anil = 160/30 = 16/3 pages/hour
Total efficiency = 8 + 16/3 = 40/3 pages/hour
Total time required = 110/(40/3) = 8(1/4) hour or 8 hour 15 minutes