Multiple choice

Amit and Sujit together can complete an assignment of data entry in five days. Sujit's speed is 80% of Amit's speed and the total key depressions in the assignment are 5,76,000. What is Amit's speed in key depressions per hour if they work for 8 hours a day?

  1. 4,800

  2. 6,400

  3. 8,000

  4. 7,200

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work = 5,76,000. Combined rate = 5,76,000 / (5 days * 8 hours) = 14,400 per hour. Let Amit's speed be A. Sujit's speed = 0.8A. A + 0.8A = 14,400, so 1.8A = 14,400. A = 14,400 / 1.8 = 8,000.

AI explanation

Using the combined work formula, Amit and Sujit together type 576000 key depressions over 5 days at 8 hours a day, yielding a total of 40 working hours and a combined speed of 14400 depressions per hour. Given Sujit's speed is 80% of Amit's speed, their ratio of speeds is 5:4, meaning Amit accounts for 5/9 of the total combined speed. Multiplying 14400 by 5/9 gives Amit's individual speed as 8000 depressions per hour.

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