Question : 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?
Option 1: 8 hours 15 minutes
Option 2: 8 hours
Option 3: 7 hours 35 minutes
Option 4: 8 hours 40 minutes
Correct Answer: 8 hours 15 minutes
Solution :
Pages typed by Suresh in one hour = $\frac{40}5 = 8$ pages
Pages typed by Anil in one hour = $\frac{32}6$ = $\frac{16}3$ pages
Pages typed by Suresh and Anil in one hour = $8 + \frac{16}{3} = \frac{40}3$ pages
Time taken by them to complete $110$ pages
= $\frac{110}{\text{Pages completed in an hour by Anil and Suresh}}$ hours
= $\frac{110}{\frac{40}{3}}$ hours
= $\frac{33}{4}$ hours
= $8$ hours $15$ minutes
Hence, the correct answer is 8 hours 15 minutes.
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