Question
Download Solution PDFTo do a certain work, Ajay and Bharat work on alternate days, with Bharat starting the work on the first day. Ajay can finish the work alone in 32 days. If the work gets completed in exactly 8 days, then Bharat alone can finish 7 times the same work in ____________ days.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula Used:
Total work = Efficiency × Time taken
Calculation
Ajay can finish the work alone in 32 days
A’s one day work = 1/32
A and B complete the whole work in = 8 days
Ajay and Bharat work on alternate days, with Bharat starting the work on the first day so, we can say B will work only 4 days A will work only:
= 8 - 4 = 4 days
If A’s 4-day work = 4/32 = 1/8
Remaining work = 1 – [1/8] = 7/8
B complete 7/8 work in = 4 days
B complete whole work in = 4 × [8/7] = 32/7 days
B alone can finish 7 times the same work in = [32/7] × 7 = 32 days
B alone can finish 7 times the same work in 32 days.
Last updated on Jun 2, 2025
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