Varun alone can do a work in 10 days, whereas Ganesh can do the same work in 25 days. If they both are working on alternate days starting with Varun, then find the total time taken to complete the work.
a) 16.4 days
b) 20.5 days
c) 14.2 days
d) 24 days
e) 12.6 days
Sol:
Let total of work = 50 units (LCM of (10, 25))
Efficiency of Varun = (50/10) = 5 units/day
Efficiency of Ganesh = (50/25) = 2 units/day
Work done by Varun and Ganesh together in 2
days = 5 + 2 = 7 units
Amount of work done by Varun and Ganesh
together in 7 days = 7 × 7 = 49 units
Time taken by Varun to complete remaining work
= 1/5 = 0.2 days
Total time taken to complete the work = 14 + 0.2
= 14.2 days.
