Question

A alone can do a work in 40 days. The ratio of
time taken by A and B to do the same work is
5: 3. Then, find in how many days both will
complete the work together?
A. 18 days
B. 12 days
C. 20 days
D. 15 days
E. 10 days​

Answer 1

Answer:

option D) 15 days

Step-by-step explanation:

So A = 5/8 =0,625 and B = 3/8 = 0,375

so B is 62,5/37,5 = 1,67 time more efficient than B

so if A & b work together we look from As perspective

X ( 1 + 1x1,67) = 40

X ( 1 + 1,67) = 40

2,67x = 40

= 15

so in 15 days, working together they will complete

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