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A report of 100 pages is to be typed by three typists. Typist A can type 100 pages in 10 hours. Typist B can type the same pages in 20 hours and typist C in 25 hours. Allthe three typist started typing at 09.00 a.m. At 01.00 p.m. typist A stopped typing. The other two typist finished the job, approximately at what time the report was typed ?
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- 2.40 p.m.
- 5.00 p.m.
- 6.00 p.m.
- 3.40 p.m.
Correct Option: D
∵ No. of pages typed by the typist A in 4 hours = 100 x 4/10 = 40
∴ No. of remaining pages = 100 - 40 = 60
Let B and C worked for H hours
∵ (100 x H)/20 + (100 x H)/25 = 60
⇒ 5H + 4H = 60
∴ H = 60/9 = 20/3 hours = 6 hours 40 min
∴ The time at which the report was typed 03.40 p.m.
