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Amit and Sujit together can complete an assignment of data entry in 5 days. Sujit's speed is 80% of Amit's speed and the total key depressions in the
Question

Amit and Sujit together can complete an assignment of data entry in 5 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?

A.

4800

B.

6400

C.

8000

D.

7200

Correct option is C

Given:
Total work = 5,76,000 key depressions
Time = 5 days
Working hours per day = 8
Sujit’s speed = 80% of Amit’s speed
Let Amit’s speed = x key depressions/hour
Then Sujit’s speed = 0.8x

Formula:
Work = (Total combined speed/hour × hours/day × total days)
Solution:

Total speed = (x + 0.8x) = 1.8x

Work = 1.8x × 8 × 5 = 72x
So,
72x = 576000
x = 576000/72

x = 8000 key depressions/hour

Correct Answer: (c) 8000

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