CBSE Class 8 Answered
A and B together can do a work in 25 days.They work together for 15 days and then B leaves . A finishes the rest work in 20 days. How many days would each take to complete the work separately
Asked by Pavangangwar786 | 24 Jan, 2019, 08:34: PM
Expert Answer
A and B completes the work in 25 days.
Hence the quantity of work done by A and B in a day = 1/25 .....................(1)
quantity of work done by A and B in 15 days = 15×(1/25) = 3/5
quantity of work remaining = 1 -(3/5) = 2/5
if (2/5) work is completed by A in 20 days, number of days for A to complete whole work = 20 / (2/5) = 20×(5/2) = 50 days.
quantity of work done by A in one day = 1/50
using eqn.(1), quantity of work can be done by B = (1/25) - (1/50) = 1/50
Hence, number of days required for b to complete whole work = 50 days.
Answered by Thiyagarajan K | 24 Jan, 2019, 08:48: PM
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