Efficiency of Rashid and Danish are in the ratio 5:8. If Danish takes 51 days less than Rashid to complete the work, find the time taken by Rashid to complete the work.

A. 85 days
B. 126 days
C. 118 days
D. 136 days

Time taken is inversely proportional to their efficiency. So, time taken is in the ratio 8:5. Time taken by Rashid to finish the work = 8x Time taken by Danish to finish the work = 5x 8x-5x=51 3x=51 x=17 8x=136