Alternate Based MCQ Quiz - Objective Question with Answer for Alternate Based - Download Free PDF
Last updated on Apr 4, 2025
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Alternate Based Question 1:
Sanjay and Tannu working separately can do a piece of work in 6 and 20 days, respectively. If they work for an alternate day, Tannu beginning, in how many days will the work be completed?
Answer (Detailed Solution Below)
Alternate Based Question 1 Detailed Solution
Given:
Sanjay can do the work in 6 days
Tannu can do the work in 20 days
They work on alternate days starting with Tannu
Formula used:
Work done in 1 day =
Calculation:
LCM of 6 and 20 = 60 units (Assume total work = 60 units)
Sanjay's 1 day work =
Tannu's 1 day work =
Work pattern (alternate days starting with Tannu):
Day 1 (Tannu) = 3 units
Day 2 (Sanjay) = 10 units
Total in 2 days = 3 + 10 = 13 units
⇒ In 4 such days (8 days): 13 × 4 = 52 units
Remaining work = 60 − 52 = 8 units
Next day (Day 9, Tannu’s turn): 3 units
⇒ Total = 52 + 3 = 55 units
Next day (Day 10, Sanjay’s turn): 10 units, but only 5 units needed
⇒ Time taken =
⇒ Total days = 8 + 1 (Tannu) + 0.5 (Sanjay) = 9.5 days
∴ The work will be completed in 9.5 days